%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.22", %%% date = "27 February 2013", %%% time = "17:08:52 MST", %%% filename = "lowdin-per-olov.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "17890 16132 67523 699088", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, kvantkemi, quantum %%% chemistry", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% the late Per-Olov Lowdin (28 October 1916 -- %%% 6 October 2000) (Part 1), and about him and %%% his works (Part 2). %%% %%% ############################################# %%% ############################################# %%% ## This bibliography is dedicated in fond ## %%% ## memory of, and to, Per-Olov Lowdin: ## %%% ## advisor, alpinist, friend, host, ## %%% ## leader, linear algebraist, mentor, ## %%% ## musician, role model, scientist, ## %%% ## and teacher of a great many of us in ## %%% ## his extended scientific family. ## %%% ############################################# %%% ############################################# %%% %%% Coverage is expected to be nearly complete %%% for material published in books and journals. %%% However, there are large numbers of Uppsala %%% and Florida technical reports for which %%% BibTeX entries are not yet available. %%% %%% At version 2.22, the year coverage looked %%% like this: %%% %%% 1939 ( 1) 1964 ( 14) 1989 ( 18) %%% 1940 ( 0) 1965 ( 16) 1990 ( 13) %%% 1941 ( 0) 1966 ( 12) 1991 ( 22) %%% 1942 ( 0) 1967 ( 12) 1992 ( 25) %%% 1943 ( 0) 1968 ( 16) 1993 ( 10) %%% 1944 ( 0) 1969 ( 11) 1994 ( 12) %%% 1945 ( 0) 1970 ( 10) 1995 ( 12) %%% 1946 ( 0) 1971 ( 11) 1996 ( 9) %%% 1947 ( 2) 1972 ( 7) 1997 ( 9) %%% 1948 ( 5) 1973 ( 9) 1998 ( 9) %%% 1949 ( 1) 1974 ( 6) 1999 ( 6) %%% 1950 ( 2) 1975 ( 8) 2000 ( 5) %%% 1951 ( 7) 1976 ( 11) 2001 ( 3) %%% 1952 ( 1) 1977 ( 15) 2002 ( 9) %%% 1953 ( 3) 1978 ( 11) 2003 ( 1) %%% 1954 ( 6) 1979 ( 5) 2004 ( 5) %%% 1955 ( 7) 1980 ( 13) 2005 ( 2) %%% 1956 ( 5) 1981 ( 16) 2006 ( 2) %%% 1957 ( 2) 1982 ( 19) 2007 ( 4) %%% 1958 ( 9) 1983 ( 24) 2008 ( 1) %%% 1959 ( 7) 1984 ( 11) 2009 ( 2) %%% 1960 ( 4) 1985 ( 17) 2010 ( 0) %%% 1961 ( 2) 1986 ( 19) 2011 ( 0) %%% 1962 ( 16) 1987 ( 16) 2012 ( 1) %%% 1963 ( 12) 1988 ( 18) %%% 19xx ( 5) %%% %%% Article: 393 %%% Book: 50 %%% InBook: 4 %%% InCollection: 17 %%% InProceedings: 30 %%% Misc: 1 %%% PhdThesis: 1 %%% Proceedings: 66 %%% TechReport: 32 %%% Unpublished: 10 %%% %%% Total entries: 604 %%% %%% The necessary diaeresis on the letter ``o'' %%% in the family name is omitted in this comment %%% header for technical reasons. It is properly %%% preserved in all text that can be typeset %%% from the BibTeX entries. Unlike in German, %%% it is not customary in Swedish to reduce this %%% letter to oe when the diaeresis is %%% unavailable. Nevertheless, English-language %%% databases often make this reduction. %%% %%% The two research groups which Per-Olov Lowdin %%% founded, and then led for nearly forty years, %%% have World-Wide Web sites at %%% %%% http://www.kvac.uu.se/ (Uppsala) %%% http://www.qtp.ufl.edu/ (Gainesville) %%% %%% Per-Olov Lowdin was the ``propagator'' of a %%% huge number of scientific exchanges, thanks %%% to the Sanibel Conferences (which celebrated %%% their 40th anniversary in March 2000), to the %%% Summer Schools in Sweden and Norway, and to %%% the Winter Schools in Florida. More than 5000 %%% different scientists have participated in these %%% conferences and schools. %%% %%% His two home institutions, plus the %%% University of Aarhus in Aarhus, Denmark, and %%% the University of Utah, in Salt Lake City, %%% Utah, USA have enjoyed particularly close %%% collaboration. It was at the latter that %%% this bibliography was developed, using %%% several different data sources; they are %%% credited in bibsource values in the BibTeX %%% entries. %%% %%% English translations are provided for titles %%% of articles written in French (1) and Swedish %%% (10). %%% %%% Data for this bibliography has been collected %%% from several sources, credited in bibsource %%% values in the BibTeX entries: %%% %%% Compendex database (1970--1999) %%% IEEE INSPEC database (1968--2000) %%% MathSciNet database (1940--2000) %%% MEDLINE database (1966--2000) %%% OCLC ArticleFirst database (ca. 1990--2000) %%% OCLC WorldCat database (ca. 1990--2000) %%% Science Citation Index database (1980--2000) %%% University of California MELVYL catalog %%% U.S. Library of Congress %%% Zentralblatt Math database (1931--2000) %%% http://www.math.utah.edu/pub/tex/bib/ijqc.bib %%% http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib %%% http://www.math.utah.edu/pub/tex/bib/master.bib %%% http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html %%% http://www3.interscience.wiley.com/journalfinder.html %%% nhfb-allref.bib (an unreleased bibliography of original papers) %%% %%% The University of California MELVYL catalog %%% has been particularly helpful for information %%% about books, and for names, and CODEN and %%% ISSN data, of periodicals; the people of the %%% State of California are gratefully %%% acknowledged for making it available on the %%% Internet. %%% %%% There are far too many errors in these %%% sources, but by merging data from multiple %%% databases, and using majority vote to eliminate %%% discrepancies, many of the errors have been %%% repaired. %%% %%% Several tedious hours of searching physical %%% journal issues at the University of Utah %%% Marriott Library provided additional data %%% (typically for issue numbers, months, and %%% final page numbers), and corrections. %%% %%% Despite these extensive efforts, at version %%% 0.10 of 16-Dec-2000, 142 entries out of 430 %%% still contain errors or missing values, as %%% evidenced by paired queries in string values, %%% or keys beginning with `xx'. %%% %%% It is regrettably common for bibliographic %%% databases to reduce full names to initials %%% plus family names. The STRONG preference in %%% this bibliography is to preserve author names %%% EXACTLY as they appeared in the original %%% publication. It is the job of bibliographic %%% formatting software to later reduce names to %%% initials, if the bibliography style requires %%% it. The original bibliographic data retains %%% the complete information. %%% %%% In the chemistry and physics literature, it %%% is common for reference lists in papers to %%% omit article titles, and often, issue %%% numbers, publication months, and final page %%% numbers. This deplorable practice makes such %%% published bibliographies utterly useless for %%% bibliographic archiving and search, makes it %%% harder for a human to find papers in bound %%% volumes (there are journals that publish more %%% than 20,000 pages annually in a single %%% `volume'), and makes it all but impossible %%% for the reader to relate a bibliography entry %%% to a publication that the reader is familiar %%% with: people remember words, not numbers! %%% This bibliography file strives to provide %%% COMPLETE publication information. %%% %%% Similarly, it is common for reference lists %%% to abbreviate journal names, sometimes to the %%% point of unintelligibility. In the days when %%% bibliographies were typed (and retyped) by %%% hand on mechanical typewriters, such %%% practices were perhaps understandable, %%% however much one may deplore the laziness. %%% %%% With computer representation of publication %%% data in properly, and rigorously, marked-up %%% bibliographic databases, happily, such %%% practices can now be abandoned. %%% %%% In this BibTeX file, most journal names are %%% given with BibTeX string abbreviations that %%% are defined to expand to FULL journal names. %%% %%% The journal abbreviation name begins with %%% `j-' (for journal), followed by the uppercase %%% equivalent of a common journal abbreviation, %%% with punctuation eliminated. %%% %%% Thus, j-ADV-CHEM-PHYS represents the journal %%% ``Advances in Chemical Physics'', abbreviated %%% as ``Adv. Chem. Phys.''. %%% %%% Notice that a human possessing only the %%% abbreviation might reasonably, but wrongly, %%% guess that it represents ``Advances in %%% Chemistry and Physics'', or ``Adventures in %%% Chemical Physiology''! %%% %%% Despite popular beliefs of researchers, there %%% are no universal standards for abbreviating %%% journal names: several professional societies %%% and publishers produce such abbreviation %%% lists, but there is widespread disagreement %%% among them. %%% %%% Where journal values in BibTeX entries remain %%% in this file as quoted strings, rather than %%% as BibTeX string names, sufficient library %%% catalog information has yet to be found to %%% uniquely identify the journal, and obtain its %%% Chemical Abstracts serial publication %%% identifier (the CODEN), and the International %%% Standard Serial Number (the ISSN). The %%% latter have been assigned since 1972 to %%% virtually all periodicals regularly published %%% throughout the world, and as such, provide a %%% unique periodical identifier for databases %%% and library catalogs. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" # "\ifx \undefined \cdprime \def \cdprime{$''$} \fi" # "\ifx \undefined \cprime \def \cprime{$'$} \fi" # "\ifx \undefined \url \input{path.sty} \fi" } %%% ===================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ===================================================================== %%% Institution abbreviations: @String{inst-CSC = "Center for Scientific Computing, Department of Mathematics, University of Utah"} @String{inst-CSC:adr = "Salt Lake City, UT 84112, USA"} @String{inst-KKUU = "Kvantkemi, Uppsala Universitet"} @String{inst-KKUU:adr = "Uppsala, Sweden"} @String{inst-QTP = "Quantum Theory Project, Departments of Chemistry and Physics, University of Florida"} @String{inst-QTP:adr = "Gainesville, FL 32611-8435, USA"} %%% ===================================================================== %%% Journal abbreviations: @String{j-ABSTR-PAP-AM-CHEM-SOC = "Abstracts of Papers of the American Chemical Society"} @String{j-ACTA-PHYS-ACAD-SCI-HUNG = "Acta physica Academiae Scientiarum Hungaricae"} @String{j-ACTA-POLYTECH-SCAND-ELECTR-ENG-SER = "Acta Polytechnica Scandinavica, Electrical Engineering Series"} @String{j-ADV-CHEM-PHYS = "Advances in Chemical Physics"} @String{j-ADV-PHYS = "Advances in Physics"} @String{j-ADV-QUANTUM-CHEM = "Advances in quantum chemistry"} @String{j-AM-SCI = "American Scientist"} @String{j-AMER-J-PHYSICS = "American Journal of Physics"} @String{j-ANGEW-CHEM = "Angewandte Chemie"} @String{j-ANGEW-CHEM-INT-ED = "Angewandte Chemie, International Edition"} @String{j-ANGEW-CHEM-INT-ED-ENGL = "Angewandte Chemie, International Edition in English"} @String{j-ANN-NY-ACAD-SCI = "Annals of the New York Academy of Sciences"} @String{j-ANN-REV-PHYS-CHEM = "Annual Review of Physical Chemistry"} @String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"} @String{j-ARKIV-FYSIK = "Arkiv f{\"o}r fysik / utgivet av K. Svenska Vetenskapsakademien"} @String{j-ARKIV-MAT-ASTRON-FYSIK = "Arkiv f{\"o}r matematik, astronomi och fysik, utgivet av K. Svenska vetenskapsakademien"} @String{j-BIOPOLYMERS-SYMPOSIA = "Biopolymers Symposia"} @String{j-CHEM-ENG-NEWS = "Chemical and Engineering News"} @String{j-CHEM-PHYS-LETT = "Chemical Physics Letters"} @String{j-CURR-CONTENTS-ENG-TECH-APPL-SCI = "Current contents. Engineering, technology \& applied sciences"} @String{j-CURR-CONTENTS-PHYS-CHEM-EARTH-SCI = "Current Contents: Physical, Chemical \& Earth Sciences"} @String{j-ELEMENTA-TMFK = "Elementa: tidskrift for matematik, fysik och kemi"} @String{j-FOUND-PHYS = "Foundations of Physics"} @String{j-IJQC = "International Journal of Quantum Chemistry"} @String{j-IJQC-BIO-SYMP = "International Journal of Quantum Chemistry. Quantum Biology Symposium: Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology."} @String{j-IJQC-QC-SYMP = "International Journal of Quantum Chemistry. Quantum Chemistry Symposium"} @String{j-IJQC-SYMP = "International Journal of Quantum Chemistry. Symposium"} @String{j-INT-SCI-TECHNOL = "International Science and Technology"} @String{j-ISRAEL-J-CHEM = "Israel Journal of Chemistry"} @String{j-J-APPL-PHYS = "Journal of Applied Physics"} @String{j-J-CHEM-EDUC = "Journal of Chemical Education"} @String{j-J-CHEM-PHYS = "Journal of Chemical Physics"} @String{j-J-COMPUT-CHEM = "Journal of Computational Chemistry"} @String{j-J-ELECTROCHEM-SOC = "Journal of the Electrochemical Society"} @String{j-J-MATH-CHEM = "Journal of Mathematical Chemistry"} @String{j-J-MATH-PHYS = "Journal of Mathematical Physics"} @String{j-J-MOL-SPECTROSC = "Journal of Molecular Spectroscopy"} @String{j-J-MOL-STRUCT = "Journal of Molecular Structure"} @String{j-J-NONMETALS = "Journal of Nonmetals"} @String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"} @String{j-J-PHYS-C = "Journal of Physics C: Solid State Physics"} @String{j-J-PHYS-CHEM = "Journal of Physical Chemistry"} @String{j-J-PHYS-CHEM-SOLIDS = "Journal of Physics and Chemistry of Solids"} @String{j-JACS = "Journal of the American Chemical Society"} @String{j-M-FIZ-F = "Magyar Fizikai Folyoirat"} @String{j-MOL-PHYS = "Molecular Physics"} @String{j-MUTAT-RES = "Mutation Research"} @String{j-PHYS-REV = "Physical Review"} @String{j-PHYS-REV-2 = "Physical Review, Series 2"} @String{j-PHYS-TODAY = "Physics Today"} @String{j-PHYSICA-SCRIPTA = "Physica Scripta"} @String{j-PROC-AMER-PHIL-SOC = "Proceedings of the {American Philosophical Society} held at {Philadelphia} for promoting useful knowledge"} @String{j-PROC-INDIAN-ACAD-SCI-CHEM-SCI = "Proceedings of the Indian Academy of Sciences. Chemical sciences."} @String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of Sciences of the United States of America"} @String{j-PURE-APPL-CHEM = "Pure and Applied Chemistry"} @String{j-Q-REV-BIOL = "Quarterly review of biology"} @String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"} @String{j-REV-MOD-PHYS = "Reviews of Modern Physics"} @String{j-SVENSK-KEMISK-TIDSKRIFT = "Svensk kemisk tidskrift"} @String{j-SVENSK-NATURVETENSKAP = "Svensk naturvetenskap"} @String{j-TEX-J-SCI = "Texas Journal of Science"} @String{j-THEOR-CHEM-ACCOUNTS = "Theoretical Chemistry Accounts"} @String{j-THEOR-CHIM-ACTA = "Theoretica Chimica Acta"} @String{j-Z-PHYS-CHEM-LEIPZIG = "Zeitschrift f{\"u}r physikalische Chemie (Leipzig)"} %%% ===================================================================== %%% Publisher abbreviations: @String{pub-ACADEMIC = "Academic Press Inc."} @String{pub-ACADEMIC:adr = "New York, USA"} @String{pub-ADENINE-PRESS = "Adenine Press"} @String{pub-ADENINE-PRESS:adr = "Guilderland, NY, USA"} @String{pub-AIP = "American Institute of Physics"} @String{pub-AIP:adr = "Woodbury, NY, USA"} @String{pub-ALMQVIST-WIKSELLS = "Almqvist and Wiksell"} @String{pub-ALMQVIST-WIKSELLS:adr = "Uppsala, Sweden"} @String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"} @String{pub-AW:adr = "Reading, MA, USA"} @String{pub-ELSEVIER = "Elsevier"} @String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"} @String{pub-IBM = "IBM Corporation"} @String{pub-IBM:adr = "San Jose, CA, USA"} @String{pub-INTERSCIENCE = "Interscience Publishers"} @String{pub-INTERSCIENCE:adr = "New York, NY, USA"} @String{pub-KLUWER = "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-PLENUM = "Plenum Press"} @String{pub-PLENUM:adr = "New York, NY, USA; London, UK"} @String{pub-REIDEL = "D. Reidel"} @String{pub-REIDEL:adr = "Dordrecht, Boston, Lancaster, Tokyo"} @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WILEY = "John Wiley and Sons, Inc."} @String{pub-WILEY:adr = "New York, NY, USA"} @String{pub-WORLD-SCI = "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River Edge, NJ, USA"} %%% ===================================================================== %%% Series abbreviations: @String{ser-IJQC = "International journal of quantum chemistry"} @String{ser-IJQC-QBS = "International journal of quantum chemistry. Quantum biology symposium"} @String{ser-IJQC-QCS = "International journal of quantum chemistry. Quantum chemistry symposium"} @String{ser-IJQC-SYMP = "International journal of quantum chemistry. Symposium"} %%% ===================================================================== %%% Part 1 (of 2): publications by Per-Olov L{\"o}wdin %%% %%% Entries are sorted by year, then by citation label: @Article{Lowdin:1939:LTO, author = "Per-Olov L{\"o}wdin", title = "{Lorentz}-Transformationen och den Kinematiska Relativitetsprincipen. ({Swedish}) [{The Lorentz} Transformation and the Kinematic Relativity Principle]", journal = j-ELEMENTA-TMFK, volume = "22", number = "??", pages = "161--169", year = "1939", CODEN = "EMNTAE", ISSN = "0013-5933", bibdate = "Fri Nov 17 08:02:05 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", } @TechReport{Lowdin:1947:CRC, author = "Per-Olov L{\"o}wdin", title = "Contributions to the Report from the Conference of the {Swedish National Committee for Physics}", type = "Technical report", institution = "????", address = "????", year = "1947", bibdate = "Fri Nov 17 08:10:08 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1947:QMC, author = "P.-O. L{\"o}wdin", title = "A Quantum Mechanical Calculation of the Cohesive Energy, the Interionic Distance, and the Elastic Constants of Some Ionic Crystals", journal = j-ARKIV-MAT-ASTRON-FYSIK, volume = "35A", number = "??", pages = "1--10", year = "1947", CODEN = "AMAFAX", ISSN = "0365-4133", bibdate = "Fri Dec 15 17:40:52 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "This paper introduces L{\"o}wdin's ``canonical orthonormalization'' scheme. See \cite{Lowdin:1956:QTC} for his ``symmetric orthonormalization''.", acknowledgement = ack-nhfb, journalabr = "Arkiv Mat. Astron. Fysik", xxnote = "Check this: not in http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html for this volume/year/pages?? The volume is out-of-range for this journal. This entry may be equivalent to \cite{Lowdin:1948:QMCa,Lowdin:1948:QMCb}.", xxvolume = "251", } @TechReport{Lowdin:1948:CRC, author = "Per-Olov L{\"o}wdin", title = "Contributions to the Report from the Conference of the {Swedish National Committee for Physics}", type = "Technical report", institution = "????", address = "????", year = "1948", bibdate = "Fri Nov 17 08:10:08 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1948:QMCa, author = "Per-Olov L{\"o}wdin", title = "A quantum mechanical calculation of the cohesive energy, the interionic distance, and the elastic constants of some ionic crystals. {I}", journal = j-ARKIV-MAT-ASTRON-FYSIK, volume = "35A", number = "9", pages = "1--10", year = "1948", CODEN = "AMAFAX", ISSN = "0365-4133", bibdate = "Fri Dec 15 17:40:57 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Zentralblatt Math database", ZMnumber = "030.09501", acknowledgement = ack-nhfb, keywords = "Structure of matter", source = "Ark. Mat. Astron. Fys. A 35, No.9, 10 p. (1948).", } @Article{Lowdin:1948:QMCb, author = "Per-Olov L{\"o}wdin", title = "A quantum mechanical calculation of the cohesive energy, the interionic distance, and the elastic constants of some ionic crystals. {II}. {The} Elastic Constants $c_{12}$ and $c_{44}$", journal = j-ARKIV-MAT-ASTRON-FYSIK, volume = "35A", number = "30", pages = "1--18", year = "1948", CODEN = "AMAFAX", ISSN = "0365-4133", bibdate = "Fri Nov 17 07:07:31 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", ZMnumber = "030.09501", acknowledgement = ack-nhfb, } @PhdThesis{Lowdin:1948:TISa, author = "P.-O. L{\"o}wdin", title = "A Theoretical Investigation Into Some Properties of Ionic Crystals", type = "Dissertation", school = "??, Uppsala Universitet", address = "Uppsala, Sweden", pages = "126", year = "1948", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Book{Lowdin:1948:TISb, author = "Per-Olov L{\"o}wdin", title = "A theoretical investigation into some properties of ionic crystals: a quantum mechanical treatment of the cohesive energy, the interionic distance, the elastic constants, and the compression at high pressures, with numerical applications to some alkali halides", publisher = pub-ALMQVIST-WIKSELLS, address = pub-ALMQVIST-WIKSELLS:adr, pages = "xi + 126 + 1", year = "1948", LCCN = "QB 498 349 (??)", bibdate = "Thu Nov 16 14:42:12 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; University of California MELVYL catalog", acknowledgement = ack-nhfb, annote = "Extra t.p. with thesis statement inserted. Addendum and errata on leaf inserted. Inaug. diss.--Uppsala.", keywords = "crystallography, mathematical", } @TechReport{Lowdin:1949:CRC, author = "Per-Olov L{\"o}wdin", title = "Contributions to the Report from the Conference of the {Swedish National Committee for Physics}", type = "Technical report", institution = "????", address = "????", year = "1949", bibdate = "Fri Nov 17 08:10:08 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1950:NMS, author = "Per-Olov L{\"o}wdin", title = "A note on the method of steepest descents with a remark on {T. Ljunggren}'s paper {``Contributions to the theory of diffraction of electromagnetic waves by spherical particles.''}", journal = j-ARKIV-FYSIK, volume = "2", number = "36", pages = "367--370", year = "1950", CODEN = "AFYSA7", ISSN = "0365-2440", MRclass = "78.0X", MRnumber = "12,884e", MRreviewer = "C. J. Bouwkamp", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", ZMnumber = "040.27602", acknowledgement = ack-nhfb, journalabr = "Ark. Fys.", keywords = "{optics}", } @Article{Lowdin:1950:NOP, author = "Per-Olov L{\"o}wdin", title = "On the Non-Orthogonality problem Connected with the Use of Atomic Wave Functions in the Theory of Molecules and Crystals", journal = j-J-CHEM-PHYS, volume = "18", number = "3", pages = "365--375", month = mar, year = "1950", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1747632", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:32:38 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v18/i3/p365_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1951:LEC, author = "Per-Olov L{\"o}wdin", title = "Letter to the Editor: Calculation of Electric Dipole Moments of Some Heterocyclics", journal = j-J-CHEM-PHYS, volume = "19", number = "10", pages = "1323--1324", month = oct, year = "1951", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1748043", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:33:12 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v19/i10/p1323_s1", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1951:MNI, author = "P.-O. L{\"o}wdin", title = "On the Methods of Numerical Integration Used in Determining Self-Consistent Fields", type = "Shelter Island Conference, NAS-ONR Report", institution = "Office of Naval Research", address = "Washington, DC, USA (??)", pages = "187--194", year = "1951", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1951:NNC, author = "Per-Olov L{\"o}wdin and Alf Sj{\"o}lander", title = "A note on the numerical calculation of asymptotic phases with a numerical study of {Hulth{\'e}n}'s variational principle", journal = j-ARKIV-FYSIK, volume = "3", number = "11", pages = "155--166", year = "1951", CODEN = "AFYSA7", ISSN = "0365-2440", MRclass = "65.0X", MRnumber = "13,388i", MRreviewer = "H. O. Hartley", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", ZMnumber = "042.45303", acknowledgement = ack-nhfb, journalabr = "Ark. Fys.", keywords = "quantum theory", } @Article{Lowdin:1951:NQM, author = "Per-Olov L{\"o}wdin", title = "A note on the quantum-mechanical perturbation theory", journal = j-J-CHEM-PHYS, volume = "19", number = "11", pages = "1396--1401", month = nov, year = "1951", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1748067", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "81.0X", MRnumber = "13,892e", MRreviewer = "E. Gora", bibdate = "Fri Dec 15 18:33:22 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", URL = "http://jcp.aip.org/resource/1/jcpsa6/v19/i11/p1396_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1951:QMCa, author = "Per-Olov L{\"o}wdin", title = "On the Quantum-Mechanical Calculation of the Cohesive Energy of Molecules and Crystals. {Part I}. {A} General Energy Formula for the Ground State", journal = j-J-CHEM-PHYS, volume = "19", number = "12", pages = "1570--1578", month = dec, year = "1951", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1748125", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:33:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v19/i12/p1570_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1951:QMCb, author = "Per-Olov L{\"o}wdin", title = "On the Quantum-Mechanical Calculation of the Cohesive Energy of Molecules and Crystals. {Part II}. {Treatment} of the Alkali metals with Numerical Applications to Sodium", journal = j-J-CHEM-PHYS, volume = "19", number = "12", pages = "1579--1591", month = dec, year = "1951", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1748126", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:33:54 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v19/i12/p1579_s1", acknowledgement = ack-nhfb, } @Article{Lundqvist:1951:CCI, author = "Stig O. Lundqvist and Per-Olov L{\"o}wdin", title = "On the calculation of certain integrals occurring in the theory of molecules, especially three-centre and four-centre integrals", journal = j-ARKIV-FYSIK, volume = "3", number = "10", pages = "147--154", year = "1951", CODEN = "AFYSA7", ISSN = "0365-2440", MRclass = "33.0X", MRnumber = "13,130b", MRreviewer = "A. Erd{\'e}lyi", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", ZMnumber = "043.22502", acknowledgement = ack-nhfb, journalabr = "Ark. Fys.", keywords = "structure of matter", } @Article{Lowdin:1952:NIO, author = "Per-Olov L{\"o}wdin", title = "On the numerical integration of ordinary differential equations of the first order", journal = j-QUART-APPL-MATH, volume = "10", number = "2", pages = "97--111", month = jul, year = "1952", CODEN = "QAMAAY", ISSN = "0033-569X", ISSN-L = "0033-569X", MRclass = "65.0X", MRnumber = "14,413d", MRreviewer = "W. E. Milne", bibdate = "Fri Dec 15 19:28:33 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", ZMnumber = "046.13402", acknowledgement = ack-nhfb, keywords = "numerical analysis", } @Article{Lowdin:1953:LEA, author = "Per-Olov L{\"o}wdin", title = "Letter to the Editor: Approximate formulas for many-center integrals in the theory of molecules and crystals", journal = j-J-CHEM-PHYS, volume = "21", number = "2", pages = "374--375", month = feb, year = "1953", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1698901", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "65.0X", MRnumber = "14,693b", bibdate = "Fri Dec 15 18:34:28 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", URL = "http://jcp.aip.org/resource/1/jcpsa6/v21/i2/p374_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1953:MOT, author = "Per-Olov L{\"o}wdin", title = "On the Molecular-Orbital Theory of Conjugated Organic Compounds with Application to the Perturbed Benzene Ring", journal = j-J-CHEM-PHYS, volume = "21", number = "3", pages = "496--515", month = mar, year = "1953", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1698934", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:34:36 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v21/i3/p496_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1953:SAS, author = "Per-Olov L{\"o}wdin", title = "Studies of atomic self-consistent fields. {I}. {Calculation} of {Slater} functions", journal = j-PHYS-REV, volume = "90", number = "1", pages = "120--125", day = "1", month = apr, year = "1953", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.90.120", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Dec 26 12:44:35 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v90/i1/p120_1", ZMnumber = "050.23206", acknowledgement = ack-nhfb, keywords = "Structure of matter", } @InProceedings{Lowdin:1954:CMI, author = "Per-Olov L{\"o}wdin", booktitle = "Symposium on Molecular Physics at Nikko, Japan in 1953", title = "Calculations of Molecular Integrals in {Uppsala}", publisher = "Maruzen", address = "Tokyo, Japan", pages = "113--117", year = "1954", LCCN = "????", bibdate = "Tue Dec 26 12:38:38 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1954:MAM, author = "Per-Olov L{\"o}wdin", booktitle = "Symposium on Molecular Physics at Nikko, Japan in 1953", title = "A Method of Alternant Molecular Orbitals", publisher = "????", address = "????", pages = "13--16", year = "1954", LCCN = "????", bibdate = "Fri Nov 17 08:23:48 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1954:NEE, author = "Per-Olov L{\"o}wdin and H. Sponer", title = "Les Niveaux d'Energie Electronique dans l'Ethylene", journal = "Le Journal de physique et le radium. Series 8", volume = "15", number = "??", pages = "607--611", year = "1954", bibdate = "Fri Dec 15 19:38:29 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, journalabr = "J. Phys. Radium", xxCODEN = "none", xxISSN = "none", xxnote = "Check author order??", } @InProceedings{Lowdin:1954:RSM, author = "Per-Olov L{\"o}wdin", booktitle = "Proceedings of the International Conference of Theoretical Physics in Japan", title = "Recent Simplifications in the Molecular Orbital Theory of Calculating Energy Levels", publisher = "????", address = "????", pages = "599--611", month = sep, year = "1954", bibdate = "Fri Nov 17 08:22:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1954:SAS, author = "Per-Olov L{\"o}wdin", title = "Studies of atomic self-consistent fields. {II}. {Interpolation} problems", journal = j-PHYS-REV, volume = "94", number = "6", pages = "1600--1609", day = "15", month = jun, year = "1954", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.94.1600", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Tue Dec 26 12:44:39 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v94/i6/p1600_1", ZMnumber = "056.23003", acknowledgement = ack-nhfb, keywords = "Structure of matter", } @TechReport{Lowdin:1954:U, author = "Per-Olov L{\"o}wdin", title = "Unknown", type = "Quarterly Report", number = "4", institution = "Solid-State and Molecular Theory Group, MIT", address = "Cambridge, MA, USA", pages = "1--??", month = "????", year = "1954", bibdate = "Tue Dec 26 12:08:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "What was the title of this report?? Cited in Theoretica Chimica Acta {\bf 103}(3--4) 238--241 (2000).", } @InProceedings{Lowdin:1955:EHF, author = "Per-Olov L{\"o}wdin", booktitle = "Les Electrons dans les M{\'e}taux. Dixi{\`e}me Conference Solvay, Bruxelles 1954", title = "An Extension of the {Hartree--Fock} Method to Include Correlation Effects", publisher = "????", address = "????", pages = "71--88", year = "1955", LCCN = "????", bibdate = "Fri Nov 17 08:25:54 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1955:LEN, author = "Per-Olov L{\"o}wdin and H. Shull", title = "Letter to the Editor: Natural Spin-Orbitals for Helium", journal = j-J-CHEM-PHYS, volume = "23", number = "8", pages = "1565--1565", month = aug, year = "1955", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1742383", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:36:03 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v23/i8/p1565_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1955:QTMa, author = "Per-Olov L{\"o}wdin", title = "Quantum theory of many-particle systems. {I}. {Physical} interpretations by means of density matrices, natural spin-orbitals, and convergence problems in the method of configurational interaction", journal = j-PHYS-REV, volume = "97", number = "6", pages = "1474--1489", day = "15", month = mar, year = "1955", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.97.1474", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "16,983e", MRreviewer = "L. Van Hove", bibdate = "Tue Dec 26 12:07:48 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v97/i6/p1490_1", ZMnumber = "065.44907", acknowledgement = ack-nhfb, annote = "See historical perspective \cite{Roos:2000:PQT}.", keywords = "natural spin-orbitals (NSO); structure of matter", } @Article{Lowdin:1955:QTMb, author = "Per-Olov L{\"o}wdin", title = "Quantum theory of many-particle systems. {II}. {Study} of the ordinary {Hartree--Fock} approximation", journal = j-PHYS-REV, volume = "97", number = "6", pages = "1490--1508", day = "15", month = mar, year = "1955", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.97.1490", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "16,983f", MRreviewer = "L. Van Hove", bibdate = "Tue Dec 26 12:07:47 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v97/i6/p1490_1", ZMnumber = "065.44907", acknowledgement = ack-nhfb, annote = "See historical perspective \cite{Roos:2000:PQT}.", keywords = "structure of matter", } @Article{Lowdin:1955:QTMc, author = "Per-Olov L{\"o}wdin", title = "Quantum theory of many-particle systems. {III}. {Extension} of the {Hartree--Fock} scheme to include degenerate systems and correlation effects", journal = j-PHYS-REV, volume = "97", number = "6", pages = "1509--1520", day = "15", month = mar, year = "1955", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.97.1509", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.0X", MRnumber = "16,983g", MRreviewer = "L. Van Hove", bibdate = "Tue Dec 26 12:07:45 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v97/i6/p1509_1", ZMnumber = "065.44907", acknowledgement = ack-nhfb, annote = "See historical perspective \cite{Roos:2000:PQT}.", keywords = "structure of matter", } @Article{Lowdin:1955:RSQ, author = "Per-Olov L{\"o}wdin and I. Fischer-Hjalmars", title = "Report from the {Symposium on Quantum Theory of Molecules, Stockholm and Uppsala, 1955}", journal = j-SVENSK-KEMISK-TIDSKRIFT, volume = "67", number = "??", pages = "365--398", year = "1955", CODEN = "KETIAL", ISSN = "0039-6605", bibdate = "Fri Nov 17 08:26:49 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "See especially pp. 369, 370, 373, 375, 379, 380 and 383.", acknowledgement = ack-nhfb, journalabr = "Sv. Kem. Tidskrift", xxnote = "Check author order??", } @Article{Shull:1955:LER, author = "Harrison Shull and Per-Olov L{\"o}wdin", title = "Letter to the Editor: Role of the Continuum in Superposition of Configurations", journal = j-J-CHEM-PHYS, volume = "23", number = "7", pages = "1362--1362", month = jul, year = "1955", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1742296", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Mon Dec 18 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v23/i7/p1362_s1", acknowledgement = ack-nhfb, } @Article{Lowdin:1956:ECT, author = "Per-Olov L{\"o}wdin", title = "Electronic Correlation in the Theory of Molecular Energy Levels", journal = j-TEX-J-SCI, volume = "8", pages = "163--??", year = "1956", CODEN = "TJSCAU", ISSN = "0040-4403", bibdate = "Tue Dec 05 09:11:08 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Proceedings of the Molecular Quantum Mechanics Conference, December 7--9, 1955, Texas, p. 30.", acknowledgement = ack-nhfb, } @Article{Lowdin:1956:NOQ, author = "Per-Olov L{\"o}wdin and Harrison Shull", title = "Natural Orbitals in the Quantum Theory of Two-Electron Systems", journal = j-PHYS-REV, volume = "101", number = "6", pages = "1730--1739", day = "15", month = mar, year = "1956", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.101.1730", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Fri Dec 15 19:18:24 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v101/i6/p1730_1", ZMnumber = "070.23502", acknowledgement = ack-nhfb, keywords = "density matrix; NSO; structure of matter", } @Article{Lowdin:1956:QTC, author = "Per-Olov L{\"o}wdin", title = "Quantum theory of cohesive properties of solids", journal = j-ADV-PHYS, volume = "5", number = "17", pages = "1--172", month = jan, year = "1956", CODEN = "ADPHAH", DOI = "http://dx.doi.org/10.1080/00018735600101155", ISSN = "0001-8732", ISSN-L = "0001-8732", MRclass = "81.0X", MRnumber = "17,1035d", MRreviewer = "C. Herring", bibdate = "Mon Dec 18 10:30:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", note = "This paper introduces L{\"o}wdin's ``symmetric orthonormalization'' scheme. See \cite{Lowdin:1947:QMC} for his ``canonical orthonormalization''.", ZMnumber = "073.23803", acknowledgement = ack-nhfb, keywords = "rigid bodies", ZMreviewer = "G. Hoehler", } @Article{Lowdin:1956:SSC, author = "Per-Olov L{\"o}wdin and K. Appel", title = "Studies of Self-Consistent Fields. {III}. Analytic Wave Functions for the Argon-Like Ions and for the First Row of the Transition Metals", journal = j-PHYS-REV, volume = "103", number = "6", pages = "1746--1755", day = "15", month = sep, year = "1956", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.103.1746", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Mon Dec 18 10:58:46 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://prola.aps.org/abstract/PR/v103/i6/p1746_1", acknowledgement = ack-nhfb, } @Article{Shull:1956:CSH, author = "Harrison Shull and Per-Olov L{\"o}wdin", title = "Correlation Splitting in Helium-Like Ions", journal = j-J-CHEM-PHYS, volume = "25", number = "5", pages = "1035--1040", month = nov, year = "1956", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1743093", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Mon Dec 18 10:56:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", URL = "http://jcp.aip.org/resource/1/jcpsa6/v25/i5/p1035_s1", acknowledgement = ack-nhfb, } @TechReport{Fieschi:1957:ASW, author = "R. Fieschi and P.-O. L{\"o}wdin", title = "Atomic State Wavefunctions Generated by Projection Operators", type = "Technical Report", number = "TU-4", institution = inst-KKUU, address = inst-KKUU:adr, pages = "??", year = "1957", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1957:PSQ, author = "Per-Olov L{\"o}wdin", title = "Present Situation of Quantum Chemistry", journal = j-J-PHYS-CHEM, volume = "61", number = "1", pages = "55--68", day = "30", month = jan, year = "1957", CODEN = "JPCHAX", DOI = "http://dx.doi.org/10.1021/j150547a012", ISSN = "0022-3654 (print), 1541-5740 (electronic)", ISSN-L = "0022-3654", bibdate = "Mon Dec 18 10:46:10 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Freeman:1958:QMK, author = "A. J. Freeman and Per-Olov L{\"o}wdin", title = "Quantum Mechanical Kinetic Energy Transformation", journal = j-PHYS-REV, volume = "111", number = "5", pages = "1212--1213", day = "1", month = sep, year = "1958", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.111.1212", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Mon Dec 18 10:59:11 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://prola.aps.org/abstract/PR/v111/i5/p1212_1", abstract = "It is shown that by a transformation of the usual expression for the kinetic energy matrix elements a simpler formula results which yields, for numerical wave functions, higher numerical accuracy for the kinetic energy than has previously been obtained. The derivation of the transformation and the numerical results of several applications are presented.", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1958:CFO, author = "Per-Olov L{\"o}wdin", title = "Calcul des Fonctions d'Onde Mol{\'e}culaire", type = "Technical Report", institution = "Centre National de la Recherche Scientifique", address = "Paris, France", pages = "23", year = "1958", bibdate = "Tue Dec 26 12:34:19 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "Cited in Britt Friis-Jensen, Sten Rettrup, and C. R. Sarma, ``Indexing Scheme for Classes of {${\cal S}_N$}; Partitions of {$N$}'', Int. J. Quant. Chem. {\bf 64}(4), 421--426, September 5 (1997).", xxnote = "Check pages?? Was this really a technical report??", } @Article{Lowdin:1958:GHF, author = "Per-Olov L{\"o}wdin", title = "Generalizations of the {Hartree--Fock} scheme", journal = "Annales Academiae regiae scientiarum upsaliensis", volume = "2", number = "??", pages = "127--135", year = "1958", CODEN = "????", ISSN = "????", MRclass = "81.00", MRnumber = "22 #1375", MRreviewer = "A. C. Hurley", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", acknowledgement = ack-nhfb, journalabr = "Ann. Acad. Reg. Sci. Upsal.", } @Article{Lowdin:1958:KKB, author = "Per-Olov L{\"o}wdin", title = "Den Kovalenta Kemiska Bindningen i Kvantmekanisk Belysning. ({Swedish}) [{The} Covalent Chemical Bond in a Quantum-Mechanical Light]", journal = j-ELEMENTA-TMFK, volume = "40", number = "??", pages = "1--16", year = "1958", CODEN = "EMNTAE", ISSN = "0013-5933", bibdate = "Fri Nov 17 08:36:30 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", } @InProceedings{Lowdin:1958:NFM, author = "P.-O. L{\"o}wdin", booktitle = "Proc. Paris Symposium", title = "Nature des Fonctions de la {M}{\'e}somerie. ({French}) [{Nature} of Mesomeric Functions]", volume = "LXXXII", publisher = "Centre National de la Recherche Scientifique", address = "Paris, France", pages = "23--27", year = "1958", bibdate = "Tue Dec 26 12:35:41 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, language = "French", xxnote = "Check year: 1957 or 1958?? Was this a conference paper, or a technical report??", } @Article{Lowdin:1958:SDP, author = "Per-Olov L{\"o}wdin", title = "Spin Degeneracy Problem", journal = "Coll. Int. Centre Nat. Rech. Sci. Paris", volume = "82", number = "??", pages = "23--??", year = "1958", bibdate = "Fri Nov 17 08:37:27 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "What is full name of this journal?? Is it ``Colloques internationaux du Centre national de la recherche scientifique. Sciences humaines''??", } @TechReport{Lowdin:1958:Xa, author = "Per-Olov L{\"o}wdin", title = "xxx", type = "Technical report", institution = inst-KKUU, address = inst-KKUU:adr, day = "23", month = apr, year = "1958", bibdate = "Fri Dec 15 19:19:38 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{Lowdin:1959:CUM}.", } @TechReport{Lowdin:1958:Xb, author = "Per-Olov L{\"o}wdin", title = "xxx", type = "Technical report", institution = inst-KKUU, address = inst-KKUU:adr, day = "15", month = jun, year = "1958", bibdate = "Fri Dec 15 19:19:38 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "Cited in \cite{Lowdin:1959:CUM}.", } @Article{Shull:1958:LEV, author = "Harrison Shull and Per-Olov L{\"o}wdin", title = "Letter to the Editor: Variation theorem for excited states", journal = j-PHYS-REV-2, volume = "110", number = "6", pages = "1466--1467", day = "15", month = jun, year = "1958", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.110.1466", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", bibdate = "Mon Dec 18 10:59:17 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v110/i6/p1466_1", ZMnumber = "092.22705", acknowledgement = ack-nhfb, keywords = "mechanics of particles and systems", } @Article{Hirschfelder:1959:LRI, author = "J. O. Hirschfelder and P.-O. L{\"o}wdin", title = "Long-range interaction of two $1s$-hydrogen atoms expressed in terms of natural spin-orbitals", journal = j-MOL-PHYS, volume = "2", number = "3", pages = "229--258", month = jul, year = "1959", CODEN = "MOPHAM", ISSN = "0026-8976", ISSN-L = "0026-8976", bibdate = "Mon Dec 18 10:47:06 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Zentralblatt Math database", ZMnumber = "088.23206", acknowledgement = ack-nhfb, journalabr = "Molecular Phys.", keywords = "structure of matter", } @Article{Lowdin:1959:CPM, author = "Per-Olov L{\"o}wdin", title = "Correlation Problem in Many-Electron Quantum Mechanics. {I}. {Review} of Different Approaches and Discussion of Some Current Ideas", journal = j-ADV-CHEM-PHYS, volume = "2", pages = "207--322", year = "1959", CODEN = "ADCPAA", ISSN = "0065-2385", ISSN-L = "0065-2385", MRclass = "81.00", MRnumber = "21 #5453", MRreviewer = "A. C. Hurley", bibdate = "Fri Dec 15 17:33:14 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib", acknowledgement = ack-nhfb, annote = "Annual book series: no issue numbers.", journalabr = "Adv. Chem. Phys.", } @Article{Lowdin:1959:CUM, author = "Per-Olov L{\"o}wdin and Lajos R{\`e}dei", title = "Combined use of the methods of superposition of configurations and correlation factor on the ground states of the helium-like atoms", journal = j-PHYS-REV, volume = "114", number = "3", pages = "752--757", day = "1", month = may, year = "1959", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.114.752", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.00", MRnumber = "21 #5455", MRreviewer = "D. F. Mayers", bibdate = "Mon Dec 18 10:59:33 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", URL = "http://prola.aps.org/abstract/PR/v114/i3/p752_1", ZMnumber = "088.44803", acknowledgement = ack-nhfb, keywords = "structure of matter", } @InProceedings{Lowdin:1959:IVA, author = "Per-Olov L{\"o}wdin", booktitle = "Nord-SAM, Karlskrona and Lund, Sweden", title = "En Iterations-Variationsmetod for att {L}{\"o}sa Egenvardesproblem. ({Swedish}) [{An} Iteration-Variation Method for Solving the Eigenvalue Problem]", type = "Technical Report", publisher = "????", address = "????", pages = "199--209", year = "1959", bibdate = "Fri Nov 17 08:45:07 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", } @Article{Lowdin:1959:SPV, author = "P.-O. L{\"o}wdin", title = "Scaling Problem, Virial Theorem, and Connected Relations in Quantum Mechanics", journal = j-J-MOL-SPECTROSC, volume = "3", number = "1", pages = "46--66", month = feb, year = "1959", CODEN = "JMOSA3", DOI = "http://dx.doi.org/10.1016/0022-2852(59)90006-2", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Fri Dec 15 18:52:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Shull:1959:SCN, author = "Harrison Shull and Per-Olov L{\"o}wdin", title = "Superposition of Configurations and Natural Spin Orbitals. {Applications} to the {He} Problem", journal = j-J-CHEM-PHYS, volume = "30", number = "3", pages = "617--626", month = mar, year = "1959", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1730019", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:36:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1960:CIO, author = "P.-O. L{\"o}wdin and R. Pauncz and J. de Heer", title = "On the Calculation of the Inverse of the Overlap Matrix in Cyclic Systems", journal = j-J-MATH-PHYS, volume = "1", number = "6", pages = "461--467", month = jun, year = "1960", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1703682", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", bibdate = "Fri Oct 28 06:54:26 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib; Zentralblatt Math database", URL = "http://jmp.aip.org/resource/1/jmapaq/v1/i6/p461_s1", ZMnumber = "098.09301", abstract = "The inverse of the overlap matrix of a cyclic system has been computed in three different ways, each of which throws light on a different aspect of the subject and has its own range of applicability to related problems. In all these derivations extensive use has been made of the properties of the Chebyshev polynomials. The results hold for every cyclic symmetric matrix.", acknowledgement = ack-nhfb, keywords = "numerical analysis", onlinedate = "22 December 2004", pagecount = "7", } @Article{Lowdin:1960:ETT, author = "Per-Olov L{\"o}wdin", title = "Expansion theorems for the total wave function and extended {Hartree--Fock} schemes", journal = j-REV-MOD-PHYS, volume = "32", number = "2", pages = "328--334", month = apr, year = "1960", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.32.328", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "81.00", MRnumber = "22 #3509", MRreviewer = "A. C. Hurley", bibdate = "Fri Dec 15 19:28:49 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://rmp.aps.org/abstract/RMP/v32/i2/p328_1", ZMnumber = "091.23704", acknowledgement = ack-nhfb, keywords = "structure of matter", } @Article{Lowdin:1960:QTE, author = "Per-Olov L{\"o}wdin", title = "Quantum Theory of Electronic Structure of Molecules", journal = j-ANN-REV-PHYS-CHEM, volume = "11", pages = "107--132", year = "1960", CODEN = "ARPLAP", DOI = "http://dx.doi.org/10.1146/annurev.pc.11.100160.000543", ISSN = "0066-426X", ISSN-L = "0066-426X", bibdate = "Fri Nov 17 08:47:03 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1960:SAR, author = "P.-O. L{\"o}wdin", booktitle = "Proceedings of the Robert A. Welch Foundation Conferences on Chemical Research. {II}. {Atomic} Structure", title = "Some Aspects of the Recent Development of the Theory of the Electronic Structure of Atoms", publisher = "Robert A. Welch Foundation", address = "Houston, TX, USA", pages = "5--75", year = "1960", CODEN = "PRAWAC", ISSN = "0557-1588", bibdate = "Tue Dec 05 09:15:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, xxnote = "Check year: 1958 or 1960??", } @Article{Lowdin:1961:NST, author = "Per-Olov L{\"o}wdin", title = "Note on the separability theorem for electron pairs", journal = j-J-CHEM-PHYS, volume = "35", number = "1", pages = "78--81", month = jul, year = "1961", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1731935", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "81.46", MRnumber = "23 #B907", MRreviewer = "A. C. Hurley", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", URL = "http://link.aip.org/link/doi/10.1063/1.1731935", abstract = "It is shown that, if two functions $\Lambda_A(1, 2, 3, \ldots{}, p)$ and $\Lambda_B(1, 2', 3', \ldots{}, q')$ describing two groups $A$ and $B$ of electrons are orthogonal with respect to electron 1 then there exists a complete orthonormal set of one electron functions $\Phi_k(1)$ such that the functions actually occurring with nonvanishing coefficients in the expansion of one of the functions cannot simultaneously occur in the expansion of the other function. This is a generalization of a separation theorem recently found by Arai.", acknowledgement = ack-nhfb, } @Article{Lowdin:1961:PCC, author = "Per-Olov L{\"o}wdin", title = "The Principle of Causality, the Chemical Bond and Modern Quantum Chemistry", journal = "Annales Academiae regiae scientiarum upsaliensis", volume = "5", number = "??", pages = "63--78", year = "1961", bibdate = "Fri Nov 17 08:47:53 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, journalabr = "Ann. Acad. Reg. Sci. Upsaliensis", xxCODEN = "none", xxISSN = "none", } @Article{Calais:1962:SMT, author = "Jean-Louis Calais and Per-Olov L{\"o}wdin", title = "A Simple Method of Treating Atomic Integrals Containing Functions of $r_{12}$", journal = j-J-MOL-SPECTROSC, volume = "8", number = "3", pages = "203--211", month = mar, year = "1962", CODEN = "JMOSA3", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Froman:1962:VTC, author = "A. Fr{\"o}man and Per-Olov L{\"o}wdin", title = "Virial Theorem and Cohesive Energies of Solids, Particularly Ionic Crystals", journal = j-J-PHYS-CHEM-SOLIDS, volume = "23", pages = "75--84", year = "1962", CODEN = "JPCSAW", ISSN = "0022-3697", ISSN-L = "0022-3697", bibdate = "Fri Dec 15 19:17:06 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "This journal does not have issue numbers.", } @Article{Lowdin:1962:BTV, author = "Per-Olov L{\"o}wdin", title = "Band theory, valence bond, and tight-binding calculations", journal = j-J-APPL-PHYS, volume = "33", number = "1", pages = "251--??", month = "????", year = "1962", CODEN = "JAPIAU", DOI = "http://dx.doi.org/10.1063/1.1777106", ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850", ISSN-L = "0021-8979", bibdate = "Sun Oct 09 11:16:38 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://link.aip.org/link/doi/10.1063/1.1777106", acknowledgement = ack-nhfb, } @Unpublished{Lowdin:1962:CSM, author = "Per-Olov L{\"o}wdin", title = "Is Cancer a Sub-Molecular Disease Caused by ``Proton Exchange''?", day = "1", month = jun, year = "1962", bibdate = "Fri Dec 22 12:50:57 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Unpublished manuscript.", acknowledgement = ack-nhfb, } @Article{Lowdin:1962:ECS, author = "Per-Olov L{\"o}wdin", title = "Exchange, correlation, and spin effects in molecular and solid-state theory", journal = j-REV-MOD-PHYS, volume = "34", number = "1", pages = "80--87", month = jan, year = "1962", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.34.80", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "82.99", MRnumber = "25 #1901", MRreviewer = "A. C. Hurley", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", URL = "http://rmp.aps.org/abstract/RMP/v34/i1/p80_1", acknowledgement = ack-nhfb, } @Unpublished{Lowdin:1962:EIV, author = "Per-Olov L{\"o}wdin", title = "An Elementary Iteration-Variation Procedure for Solving the {Schr{\"o}dinger} Equation", year = "1962", bibdate = "Fri Dec 22 12:50:57 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Unpublished manuscript.", acknowledgement = ack-nhfb, } @Article{Lowdin:1962:NCM, author = "Per-Olov L{\"o}wdin", title = "The Normal Constants of Motion in Quantum Mechanics Treated by Projection Technique", journal = j-REV-MOD-PHYS, volume = "34", number = "3", pages = "520--530", month = jul, year = "1962", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.34.520", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "81.47", MRnumber = "25 #4784", MRreviewer = "E. L. Hill", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", ZMnumber = "105.21603", acknowledgement = ack-nhfb, keywords = "quantum theory", } @TechReport{Lowdin:1962:QGA, author = "Per-Olov L{\"o}wdin", title = "Quantum Genetics and the Aperiodic Solid", type = "Technical report", number = "TN 85", institution = inst-KKUU, address = inst-KKUU:adr, day = "11", month = nov, year = "1962", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Unpublished{Lowdin:1962:QTM, author = "Per-Olov L{\"o}wdin", title = "Quantum Theory of Molecules of Importance in Cancer Research", day = "1", month = jun, year = "1962", bibdate = "Fri Dec 22 12:50:57 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Unpublished manuscript.", acknowledgement = ack-nhfb, } @Article{Lowdin:1962:QTN, author = "P.-O. L{\"o}wdin", title = "Quantum Theory of Nonmetallic Crystals. {Band} Theory, Valence Bond, and Tight-Binding Calculations", journal = j-J-APPL-PHYS, volume = "33", number = "1", pages = "251--280", month = jan, year = "1962", CODEN = "JAPIAU", ISSN = "0021-8979 (print), 1089-7550 (electronic), 1520-8850", ISSN-L = "0021-8979", bibdate = "Fri Dec 15 19:38:45 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", ZMnumber = "099.44803", acknowledgement = ack-nhfb, journalabr-1 = "J. Applied Phys.", journalabr-2 = "J. appl. physi.", keywords = "mechanics of particles and systems", } @Article{Lowdin:1962:SPTa, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {IV}. {Solution} of Eigenvalue Problem by Projection Operator Formalism", journal = j-J-MATH-PHYS, volume = "3", number = "5", pages = "969--982", month = may, year = "1962", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1724312", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81.41", MRnumber = "26 #4714", MRreviewer = "A. C. Hurley", bibdate = "Fri Oct 28 08:39:58 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://jmp.aip.org/resource/1/jmapaq/v3/i5/p969_s1", ZMnumber = "109.22801", acknowledgement = ack-nhfb, keywords = "mechanics of particles and systems", onlinedate = "22 December 2004", pagecount = "14", } @Article{Lowdin:1962:SPTb, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {V}. {Some} Aspects on the Exact Self-Consistent Field Theory", journal = j-J-MATH-PHYS, volume = "3", number = "6", pages = "1171--1184", month = nov # "\slash " # dec, year = "1962", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1703860", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81.41", MRnumber = "26 #4686", MRreviewer = "A. C. Hurley", bibdate = "Fri Oct 28 08:39:59 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://jmp.aip.org/resource/1/jmapaq/v3/i6/p1171_s1", ZMnumber = "129.42707", acknowledgement = ack-nhfb, keywords = "quantum theory", onlinedate = "22 December 2004", pagecount = "14", } @TechReport{Lowdin:1962:SRP, author = "Per-Olov L{\"o}wdin", title = "Some Recent Progress in the Quantum Theory of Many-Electron Systems", type = "Technical report", number = "TN 83", institution = inst-KKUU, address = inst-KKUU:adr, day = "15", month = aug, year = "1962", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Pauncz:1962:SAMa, author = "R. Pauncz and J. de Heer and P.-O. L{\"o}wdin", title = "Studies on the Alternant Molecular Orbital Method. {I}. {General} Energy Expression for an Alternant System with Closed-Shell Structure", journal = j-J-CHEM-PHYS, volume = "36", number = "9", pages = "2247--2256", day = "1", month = may, year = "1962", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1732872", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:44:21 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://link.aip.org/link/doi/10.1063/1.1732872", abstract = "The alternant molecular orbital method is used to derive a general energy expression for an arbitrary alternant system with closed shell structure. This expression exhibits a simple dependence on a single mixing parameter, minimization with respect to which yields the optimum energy. An analysis reveals the effectiveness of the method to depend on the relative magnitude of two quantities, one involving the one electron operator energies and the other related to electron interaction integrals which connect the bonding with the antibonding orbitals from the simple ASMO scheme. Some comments on the method, in the light of the results obtained, are added.", acknowledgement = ack-nhfb, } @Article{Pauncz:1962:SAMb, author = "R. Pauncz and J. de Heer and P.-O. L{\"o}wdin", title = "Studies on the Alternant Molecular Orbital Method. {II}. {Application} to Cyclic Systems", journal = j-J-CHEM-PHYS, volume = "36", number = "9", pages = "2257--2265", day = "1", month = may, year = "1962", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1732873", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:45:06 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://link.aip.org/link/doi/10.1063/1.1732873", abstract = "Using the general energy expression for an alternant system with closed shell structure, obtained in our previous paper on the alternant molecular orbital (AMO) method, a numerical analysis is presented of cyclic systems consisting of $2 n = 4 v + 2$ electrons moving in the field of $2n$ [Complex chemical formula] centers. Special attention is paid to the case of large n, when we are essentially dealing with a linear chain with Born von Karman periodicity condition. The most important result obtained is that the energy depression per electron (a measure for the effectiveness of the method to take into account electron correlation) decreases only slowly with increasing n and approaches a limit in the neighborhood of 0.4 ev. Hence the AMO method is useful even in the case of large systems and may provide a powerful tool for tackling certain problems in solid state theory. A detailed discussion is given of the various approximations incorporated in our analysis and a critical comparison is made with some related results recently obtained by other investigators.", acknowledgement = ack-nhfb, } @Article{Coleman:1963:DSF, author = "A. J. Coleman and P.-O. L{\"o}wdin and Darwin W. Smith", title = "Discussion on {``Structure of Fermion Density Matrices''}", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "687--689", month = jul, year = "1963", CODEN = "RMPHAT", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue Dec 26 12:20:10 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Harris:1963:DNE, author = "F. Harris and R. Nesbet and P.-O. L{\"o}wdin and E. R. Davidson", title = "Discussion on {``Natural Expansions and Properties of the Chemical Bond''}", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "629--630", month = jul, year = "1963", CODEN = "RMPHAT", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue Dec 26 12:20:10 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1963:ISAb, author = "Per-Olov L{\"o}wdin", title = "{International Symposium on Atomic and Molecular Quantum Mechanics: Proceedings in Honor of Professor Egil A. Hylleraas and arranged by the University of Florida at Sanibel Island, 14--19 January 1963}: Introduction", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "415--415", month = jul, year = "1963", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.35.415", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Fri Dec 15 19:33:22 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1963:PTD, author = "Per-Olov L{\"o}wdin", title = "Proton Tunneling in {DNA} and its Biological Implications", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "724--732", month = jul, year = "1963", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.35.724", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Fri Dec 15 19:34:11 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1963:QG, author = "Per-Olov L{\"o}wdin", title = "Quantum Genetics", journal = j-INT-SCI-TECHNOL, volume = "17", pages = "64--68, 71--72, 74, 102", month = may, year = "1963", CODEN = "ISCTAB", ISSN = "0097-3777", bibdate = "Fri Dec 15 17:32:54 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "Volume number (== issue number) increments each month.", } @TechReport{Lowdin:1963:QTTa, author = "P.-O. L{\"o}wdin", title = "Quantum Theory of Time-Dependent Phenomena Treated by the Evolution Operator Technique", number = "100", institution = inst-KKUU, address = inst-KKUU:adr, pages = "????", month = jun, year = "1963", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Published in \cite{Lowdin:1967:QTT}.", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1963:RCI, author = "Per-Olov L{\"o}wdin", title = "Remarks in Connection with the {International Conference on Atomic and Molecular Quantum Mechanics in Honour of Prof. E. A. Hylleraas on Sanibel Island}", type = "Technical report", number = "TN 95", institution = inst-KKUU, address = inst-KKUU:adr, day = "13", month = jan, year = "1963", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Unpublished{Lowdin:1963:SDH, author = "P.-O. L{\"o}wdin", title = "{I}. The Symmetry Dilemma in the {Hartree--Fock} Scheme. {II}. Symmetry Properties of the {NSO}'s. {III}. {Variation} of the Density Matrix", year = "1963", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Sanibel Notes.", acknowledgement = ack-nhfb, } @Article{Lowdin:1963:SPTa, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {I}. {An} Elementary Iteration-Variation Procedure For Solving the {Schr{\"o}dinger} Equation by Partitioning Technique", journal = j-J-MOL-SPECTROSC, volume = "10", number = "1", pages = "12--33", month = jan, year = "1963", CODEN = "JMOSA3", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Fri Dec 15 18:53:32 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Lowdin:1963:WRO, author = "Per-Olov L{\"o}wdin", title = "Wave and reaction operators in the quantum theory of many-particle systems", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "702--709", month = jul, year = "1963", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.35.702", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "81.47", MRnumber = "31 #6610", MRreviewer = "H. E. Rorschach, Jr.", bibdate = "Fri Dec 15 19:33:52 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Lykos:1963:DHF, author = "P. Lykos and G. W. Pratt and P.-O. L{\"o}wdin and Gilda M. Harris", title = "Discussion on {``The Hartree--Fock Approximation''}", journal = j-REV-MOD-PHYS, volume = "35", number = "3", pages = "496--501", month = jul, year = "1963", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.35.496", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", bibdate = "Tue Dec 26 12:20:10 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1964:AMW, author = "Per-Olov L{\"o}wdin", title = "Angular Momentum Wavefunctions Constructed by Projection Operators", journal = j-REV-MOD-PHYS, volume = "36", number = "4", pages = "966--976", month = oct, year = "1964", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.36.966", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "81.47", MRnumber = "32 #8871", MRreviewer = "A. C. Hurley", bibdate = "Fri Dec 15 19:34:56 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1964:EPT, author = "Per-Olov L{\"o}wdin", title = "Effect of Proton Tunneling in {DNA} on Genetic Information and Problems of Mutations, Aging, and Tumors", journal = j-BIOPOLYMERS-SYMPOSIA, volume = "1", number = "??", pages = "161--181", month = may, year = "1964", ISSN = "0523-6827", bibdate = "Fri Nov 17 09:06:26 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1964:LAF, author = "Per-Olov L{\"o}wdin", title = "Linear Algebra and the Fundaments of Quantum Theory", type = "Technical report", number = "TN 125", institution = inst-KKUU, address = inst-KKUU:adr, day = "1", month = jul, year = "1964", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1964:MOE, author = "Per-Olov L{\"o}wdin", title = "Molecular Orbitals in the Exact {SCF} Theory", crossref = "Lowdin:1964:MOC", pages = "37--55", year = "1964", bibdate = "Fri Nov 17 09:15:14 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1964:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "1", pages = "vii--viii", year = "1964", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60372-X", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S006532760860372X", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @InCollection{Lowdin:1964:SAD, author = "Per-Olov L{\"o}wdin", editor = "Bernard Pullman", booktitle = "Electronic Aspects of Biochemistry: proceedings of the International Symposium held at Ravello, Italy, September 16--18, 1963,", title = "Some Aspects on {DNA} Replication; Incorporation Errors and Proton Transfer", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "??--??", year = "1964", LCCN = "QH345.A1 I5 1963; QU4 I58 1963", bibdate = "Fri Nov 17 09:17:03 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, bookpages = "xiii + 582", } @Article{Lowdin:1964:SAQ, author = "Per-Olov L{\"o}wdin", title = "Some Aspects of Quantum Biology", journal = j-BIOPOLYMERS-SYMPOSIA, volume = "1", number = "??", pages = "293--311", month = may, year = "1964", ISSN = "0523-6827", bibdate = "Fri Dec 15 17:40:48 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "The journal `Biopolymers' has volume 1 in this year, but University of Utah Marriott library does not have a corresponding `Biopolymers Symposia' series??", } @Article{Lowdin:1964:SPTa, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {II}. {Generalization} of the {Brillouin--Wigner} Formalism", journal = j-J-MOL-SPECTROSC, volume = "13", number = "3", pages = "326--331", month = jul, year = "1964", CODEN = "JMOSA3", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Lowdin:1964:SPTb, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {III}. {Solution} of the {Schr{\"o}dinger} Equation under a Variation of a Parameter", journal = j-J-MOL-SPECTROSC, volume = "13", number = "3", pages = "331--337", month = jul, year = "1964", CODEN = "JMOSA3", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Fri Dec 15 18:54:16 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1964:SPTc, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {VI}. {Contraction} of Secular Equations", journal = j-J-MOL-SPECTROSC, volume = "14", number = "1", pages = "112--118", month = oct, year = "1964", CODEN = "JMOSA3", DOI = "http://dx.doi.org/10.1016/0022-2852(64)90106-7", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Lowdin:1964:SPTd, author = "P.-O. L{\"o}wdin", title = "Studies in Perturbation Theory. {VII}. {Localized} Perturbation", journal = j-J-MOL-SPECTROSC, volume = "14", number = "1", pages = "119--130", month = oct, year = "1964", CODEN = "JMOSA3", DOI = "http://dx.doi.org/10.1016/0022-2852(64)90107-9", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Fri Dec 15 18:55:05 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Lowdin:1964:SPTe, author = "P.-O. L{\"o}wdin", title = "Studies in Perturbation Theory. {VIII}. {Separation} of {Dirac} Equation and Study of the Spin-Orbit Coupling and {Fermi} Contact Terms", journal = j-J-MOL-SPECTROSC, volume = "14", number = "1", pages = "131--144", month = oct, year = "1964", CODEN = "JMOSA3", DOI = "http://dx.doi.org/10.1016/0022-2852(64)90108-0", ISSN = "0022-2852", ISSN-L = "0022-2852", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, journalabr = "J. Mol. Spect.", } @Article{Hirschfelder:1965:LRI, author = "J. O. Hirschfelder and Per-Olov L{\"o}wdin", title = "Long-Range Interaction of Two $1s$-Hydrogen Atoms Expressed in Terms of Natural Spin-Orbitals", journal = j-MOL-PHYS, volume = "9", number = "5", pages = "491--496", year = "1965", CODEN = "MOPHAM", ISSN = "0026-8976", ISSN-L = "0026-8976", bibdate = "Fri Nov 17 09:22:08 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, annote = "No months assigned to journal issues.", journalabr = "Mol. Phys.", } @Article{Lowdin:1965:AOD, author = "Per-Olov L{\"o}wdin", title = "Arvsanlagen och Deras {F}{\"o}r{\"a}ndringar --- Ur Kvantgenetisk Synpunkt. ({Swedish}) [{Inheritance} and its Changes --- From a Quantum Genetic Viewpoint]", journal = j-SVENSK-NATURVETENSKAP, volume = "??", number = "??", pages = "??--??", year = "1965", CODEN = "SVNAB5", ISSN = "0373-1359", bibdate = "Fri Nov 17 09:20:53 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", } @TechReport{Lowdin:1965:CUL, author = "P.-O. L{\"o}wdin", title = "The Calculation of Upper and Lower Bounds of Energy Eigenvalues in Perturbation Theory by Means of Partitioning Technique", number = "150", institution = inst-KKUU, address = inst-KKUU:adr, month = jul, year = "1965", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1965:IET, author = "Per-Olov L{\"o}wdin", title = "Isotope Effect in Tunneling and Its Influence on Mutation Rates", journal = j-MUTAT-RES, volume = "2", number = "3", pages = "218--221", month = jun, year = "1965", CODEN = "MUREAV", ISSN = "0027-5107 (print), 1873-135X (electronic)", ISSN-L = "0027-5107", bibdate = "Thu Dec 28 15:59:12 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MEDLINE database", acknowledgement = ack-nhfb, } @Article{Lowdin:1965:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "2", pages = "vii--viii", year = "1965", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60069-6", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600696", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1965:PISb, author = "Per-Olov L{\"o}wdin", title = "{Proceedings of the International Symposium on Atomic and Molecular Orbital Quantum Theory, Dedicated to Professor Robert Sanderson Mulliken, Sanibel Island, Florida, 18--23 January 1965: Introduction}", journal = j-J-CHEM-PHYS, volume = "43", number = "10 (part 2)", pages = "S1--S1", day = "15", month = nov, year = "1965", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1701489", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Dec 15 18:41:48 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://link.aip.org/link/doi/10.1063/1.1701489", acknowledgement = ack-nhfb, } @Article{Lowdin:1965:QGA, author = "Per-Olov L{\"o}wdin", title = "Quantum Genetics and the Aperiodic Solid. {Some} Aspects of the Biological Problems of Heredity, Mutations, Aging and Tumors in View of the Quantum Theory of the {DNA} Molecule", journal = j-ADV-QUANTUM-CHEM, volume = "2", pages = "213--360", year = "1965", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60076-3", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600763", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", tableofcontents = "I. Introduction 216 \\ II. Historical Development of the Theory of the Hereditary Mechanism 222 \\ III. Stereostructure of DNA and the Connection with Its Biological Functioning 233 \\ IV. Properties of the Hydrogen Bond 248 \\ V. Quantum Theory of DNA 286 \\ VI. Some Remarks on the Replication of DNA, the Formation of RNA, and the Coding Problem 308 \\ VII. Problem of Mutations 333 \\ VIII. Problem of Aging 339 \\ IX. Some Aspects on the Connection between the DNA Structure and the Development of Tumors and Cancer 341 \\ X. Discussion 348 \\ References 351", toc = "I. Introduction 216;\\ II. Historical Development of the Theory of the Hereditary Mechanism 222;\\ III. Stereostructure of DNA and the Connection with Its Biological Functioning 233;\\ IV. Properties of the Hydrogen Bond 248;\\ V. Quantum Theory of DNA 286;\\ VI. Some Remarks on the Replication of DNA, the Formation of RNA, and the Coding Problem 308;\\ VII. Problem of Mutations 333;\\ VIII. Problem of Aging 339;\\ IX. Some Aspects on the Connection between the DNA Structure and the Development of Tumors and Cancer 341;\\ X. Discussion 348;\\ References 351", } @TechReport{Lowdin:1965:QTT, author = "Per-Olov L{\"o}wdin", title = "Quantum Theory of Time-Dependent Phenomena Treated by the Evolution Operator Technique", type = "Technical report", number = "TN 100", institution = inst-KKUU, address = inst-KKUU:adr, day = "15", month = jun, year = "1965", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1965:SPTa, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {IX}. {Connection} Between Various Approaches in the Recent Development-Evaluation of Upper Bounds to Energy Eigenvalues in {Schr{\"o}dinger}'s Perturbation Theory", journal = j-J-MATH-PHYS, volume = "6", number = "8", pages = "1341--1353", month = aug, year = "1965", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.1704781", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81.41", MRnumber = "31 #5472", MRreviewer = "A. C. Hurley", bibdate = "Fri Oct 28 11:54:42 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.aip.org/ojs/jmp.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1965.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", URL = "http://jmp.aip.org/resource/1/jmapaq/v6/i8/p1341_s1", ZMnumber = "136.47101", acknowledgement = ack-nhfb, keywords = "quantum theory", onlinedate = "22 December 2004", pagecount = "13", } @Article{Lowdin:1965:SPTb, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {X}. {Lower} Bounds to Energy Eigenvalues in Perturbation Theory. {Ground} State", journal = j-PHYS-REV, volume = "139", number = "2A", pages = "A357--A372", day = "19", month = jul, year = "1965", CODEN = "PHRVAO", DOI = "http://dx.doi.org/10.1103/PhysRev.139.A357", ISSN = "0031-899X (print), 1536-6065 (electronic)", ISSN-L = "0031-899X", MRclass = "81.41", MRnumber = "32 #5242", MRreviewer = "A. C. Hurley", bibdate = "Tue Dec 26 12:43:53 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1965:SPTc, author = "Per-Olov L{\"o}wdin", title = "Studies in perturbation theory. {XI}. {Lower} bounds to energy eigenvalues, ground state, and excited states", journal = j-J-CHEM-PHYS, volume = "43", number = "10 (part 2)", pages = "S175--S185", day = "15", month = nov, year = "1965", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1701483", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", MRclass = "81.41", MRnumber = "32 #3668", MRreviewer = "A. C. Hurley", bibdate = "Fri Dec 15 18:45:52 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1966:CPJ, author = "Per-Olov L{\"o}wdin", title = "Comments on {Professor John C. Slater}'s Paper, {``Cohesion in Monovalent Metals''},", crossref = "Lowdin:1966:QTA", pages = "15--??", year = "1966", bibdate = "Fri Nov 17 09:23:58 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1966:CUL, author = "Per-Olov L{\"o}wdin", booktitle = "Perturbation Theory and its Applications in Quantum Mechanics (Proc. Adv. Sem. Math. Res. Center, U.S. Army, Theoret. Chem. Inst., Univ. of Wisconsin, Madison, Wis., 1965)", title = "The calculation of upper and lower bounds of energy eigenvalues in perturbation theory by means of partitioning techniques", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "255--294", year = "1966", MRclass = "81.41", MRnumber = "34 #5410", MRreviewer = "H. W. Lewis", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; Zentralblatt Math database", ZMnumber = "194.28905", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1966:GAC, author = "Per-Olov L{\"o}wdin", title = "Group Algebra, Convolution Algebra, and Applications to Quantum Mechanics", type = "Technical report", number = "TN 176", institution = inst-KKUU, address = inst-KKUU:adr, day = "15", month = jul, year = "1966", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1966:PHFa, author = "Per-Olov L{\"o}wdin", title = "The Projected {Hartree--Fock} Method", type = "Technical report", number = "TN 170", institution = inst-KKUU, address = inst-KKUU:adr, day = "1", month = mar, year = "1966", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1966:PHFb, author = "P.-O. L{\"o}wdin", title = "The Projected {Hartree--Fock} Method", type = "Technical report", number = "TF 83", institution = inst-QTP, address = inst-QTP:adr, month = mar, year = "1966", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1966:PHFc, author = "Per-Olov L{\"o}wdin", title = "The Projected {Hartree--Fock} Method. {An} Extension of the Independent-Particles Schemes", crossref = "Lowdin:1966:QTA", pages = "601--??", year = "1966", bibdate = "Fri Nov 17 09:23:58 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1966:SPH, author = "Per-Olov L{\"o}wdin", title = "Some Properties of the Hydrogen Bond in Biochemistry with Particular Reference to the Stability of the Genetic Code", type = "Technical report", number = "QB 33", institution = inst-KKUU, address = inst-KKUU:adr, day = "31", month = aug, year = "1966", bibdate = "Fri Dec 22 12:54:21 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1966:SPT, author = "P.-O. L{\"o}wdin", editor = "C. H. Wilcox", booktitle = "Perturbation Theory", title = "Studies in Perturbation Theory. {XII}. {The} Calculation of Upper and Lower Bounds of Energy Eigenvalues in Perturbation Theory by Means of Partitioning Techniques", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "255--294", year = "1966", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1967:EPL, author = "Per-Olov L{\"o}wdin", title = "Eigenvalue Problem in a Linearly Dependent Basis and the Super Secular Equation", journal = j-IJQC-SYMP, volume = "1", number = "S1", pages = "811--827", year = "1967", CODEN = "IJQSAF", DOI = "http://dx.doi.org/10.1002/qua.560010690", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Nov 18 09:39:03 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", abstract = "The solution of the Schr{\"o}dinger equation HK \Psi = E \Psi is discussed in terms of a basis \Phi of n functions of which only p are linearly independent. After introducing a variable \unknownvar and the matrix K = \Phi | H - \unknownvar \unknownvar 1| \Phi = H - \unknownvar \delta , a super-secular-equation |K - \Delta . 1| = 0 is discussed. It is shown that the n-valued function \Delta = \Delta (\unknownvar) has (n - p) branches which are identically vanishing, and p branches which are monotonously decreasing functions of \unknownvar; the zero-points of the latter, \Delta (\unknownvar) = 0, correspond to the eigenvalues \unknownvar = E desired. The coefficients in the characteristic polynomial P(Z) = |K - Z. 1| are studied, and it is shown that the eigenvalue problem is equivalent to setting the sum of the principal minors of order p of |K| equal to zero. The same problem is also discussed by carrying out a canonical orthonormalization of the basis which is shown to lead to the same result.The method is applied to the problem of the group-theoretical splitting of the secular equation due to symmetry properties of the Hamiltonian. Following Byers-Brown, it is shown that a block of the secular equation corresponding to a specific irreducible representation \alpha depends only on the characters X \alpha and not on the full matrices \gamma \alpha .", acknowledgement = ack-nhfb, } @Article{Lowdin:1967:GAC, author = "Per-Olov L{\"o}wdin", title = "Group Algebra, Convolution Algebra, and Applications To Quantum Mechanics", journal = j-REV-MOD-PHYS, volume = "39", number = "2", pages = "259--287", month = apr, year = "1967", CODEN = "RMPHAT", DOI = "http://dx.doi.org/10.1103/RevModPhys.39.259", ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756", ISSN-L = "0034-6861", MRclass = "81.22 (22.65)", MRnumber = "34 #8769", bibdate = "Fri Dec 15 19:35:11 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database; nhfb-allref.bib; Zentralblatt Math database", ZMnumber = "163.21801", acknowledgement = ack-nhfb, keywords = "quantum theory", } @Article{Lowdin:1967:NQC, author = "Per-Olov L{\"o}wdin", title = "Nature of Quantum Chemistry", journal = j-IJQC, volume = "1", number = "1", pages = "7--12", month = "????", year = "1967", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560010103", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; IEEE INSPEC database (1968--2000); nhfb-allref.bib", abstract = "Tries to distinguish clearly between the mathematical and logical treatment itself and the physical and chemical arguments. This is not always so easy. If an experimental description of a problem is given, the clear logical and mathematical analysis of the situation and the theoretical formulation of the problem is often the most difficult part of the treatment. Once this has been achieved, it is easier to proceed. It is then of great importance that the basic assumptions are clearly stated, and the mathematical and logical treatment should further be carried out strictly as far as is possible", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", annote = "Sanibel Symposium in honor of John C. Slater \cite{Lowdin:1967:PIS}.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1967:Pa, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "3", pages = "vii--viii", year = "1967", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60083-0", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600830", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", xxpages = "vii--vii", } @Article{Lowdin:1967:Pb, author = "Per-Olov L{\"o}wdin", title = "Program", journal = j-IJQC, volume = "1", number = "1", pages = "1--6", month = "????", year = "1967", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560010102", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Dec 15 17:43:01 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", annote = "Sanibel Symposium in honor of John C. Slater \cite{Lowdin:1967:PIS}.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1967:QTT, author = "Per-Olov L{\"o}wdin", title = "Quantum Theory of Time-Dependent Phenomena Treated by the Evolution Operator Technique", journal = j-ADV-QUANTUM-CHEM, volume = "3", pages = "323--381", year = "1967", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60092-1", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", note = "Earlier edition available as technical report \cite{Lowdin:1963:QG}.", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600921", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", tableofcontents = "I. Introduction 324 \\ II. Coordinate Space and Momentum Space; Phase Problem in Quantum Mechanics 332 \\ III. Schr{\"o}dinger Equation 340 \\ IV. Schr{\"o}dinger Equation for Particles in Electromagnetic Field 347 \\ V. Evolution Operator 355 \\ VI. Reformulation of Quantum Theory 361 \\ VII. Transition Probabilities 363 \\ VIII. Time-Dependent Perturbation Theory 371 \\ IX. Discussion 378 \\ APPENDIX. Evaluation of Certain Integrals 379 \\ References 381", toc = "I. Introduction 324;\\ II. Coordinate Space and Momentum Space; Phase Problem in Quantum Mechanics 332;\\ III. Schr{\"o}dinger Equation 340;\\ IV. Schr{\"o}dinger Equation for Particles in Electromagnetic Field 347;\\ V. Evolution Operator 355;\\ VI. Reformulation of Quantum Theory 361;\\ VII. Transition Probabilities 363;\\ VIII. Time-Dependent Perturbation Theory 371;\\ IX. Discussion 378;\\ APPENDIX. Evaluation of Certain Integrals 379;\\ References 381", } @Article{Lowdin:1967:SPH, author = "Per-Olov L{\"o}wdin", title = "Some Properties of the Hydrogen Bonds in Biochemistry with Particular Reference to the Stability of the Genetic Code", journal = "Pontificaiae Academiae Scientiarum Scripta Varia", volume = "31", number = "??", pages = "??--??", year = "1967", CODEN = "????", ISSN = "????", bibdate = "Fri Nov 17 09:37:46 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Semaine d'Etude sur les Forces Moleculaires.", acknowledgement = ack-nhfb, } @Article{Lindner:1968:ULB, author = "Peter Lindner and Per-Olov L{\"o}wdin", title = "Upper and Lower Bounds in Second-Order Perturbation Theory and the {Uns{\"o}ld} Approximation", journal = j-IJQC-SYMP, volume = "2", number = "S2", pages = "161--173", year = "1968", CODEN = "IJQSAF", DOI = "http://dx.doi.org/10.1002/qua.560020717", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Nov 18 09:39:26 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", abstract = "Upper and lower bounds for the second-order energy in the Schr{\"o}dinger perturbation theory are studied by means of operator inequalities and inner projections. It is shown that the variation problems associated with Hylleraas's upper bound and Hirschfelder-Prager's lower bound over a linear manifold have simple explicit solutions. The approach is tested numerically on some selected examples with good results.", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1968:MAB, author = "Per-Olov L{\"o}wdin", editor = "Bernard Pullman", booktitle = "Molecular Associations in Biology: Proceedings of an international symposium held in celebration of the 40th anniversary of the Institut de biologie physico-chimique (Foundation Edmond de Rothschild) Paris, May 8--11, 1967", title = "Molecular Associations in Biology --- {A} Brief Summary", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "539--549", year = "1968", LCCN = "QH506 .M718 1967", bibdate = "Mon Dec 18 10:51:47 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, bookpages = "xviii + 571", } @TechReport{Lowdin:1968:NOP, author = "P.-O. L{\"o}wdin", title = "On the Non-Orthogonality Problem", type = "Technical Report", number = "TF 146", institution = inst-QTP, address = inst-QTP:adr, month = jun, year = "1968", bibdate = "Tue Dec 05 05:49:44 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Published in \cite{Lowdin:1970:NP}.", acknowledgement = ack-nhfb, } @Article{Lowdin:1968:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "4", pages = "vii--viii", year = "1968", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60388-3", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603883", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", xxnote = "Check pages?? Why is there a gap viii--xiii??", } @TechReport{Lowdin:1968:SACa, author = "P.-O. L{\"o}wdin", title = "Some Aspects of the Correlation Problem and Possible Extensions of the {Independent Particle Model}", type = "Technical Report", number = "TF 128", institution = inst-QTP, address = inst-QTP:adr, year = "1968", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Published in \cite{Lowdin:1968:SACb}.", acknowledgement = ack-nhfb, } @Article{Lowdin:1968:SACb, author = "P.-O. L{\"o}wdin", title = "Some Aspects of the Correlation Problem and Possible Extensions of the {Independent Particle Model}", journal = j-ADV-CHEM-PHYS, volume = "14", pages = "283--340", year = "1968", CODEN = "ADCPAA", ISSN = "0065-2385", ISSN-L = "0065-2385", bibdate = "Fri Dec 15 17:34:32 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Proceedings of Frascati Summer School on the Correlation Problem, 1967; Eds. R. Lefebvre and C. Moser, Interscience, 1968. Also available as \cite{Lowdin:1968:SACa}.", acknowledgement = ack-nhfb, annote = "Annual book series: no issue numbers.", journalabr = "Adv. Chem. Phys.", } @InProceedings{Lowdin:1968:SAP, author = "Per-Olov L{\"o}wdin", editor = "????", booktitle = "Proceedings of the Israel Academy of Sciences Symposium on Physico-Chemical Mechanism of Carcinogenesis, Jerusalem", title = "Some Aspects on the Possible Importance of the Reading Mechanism of {DNA} in Carcinogenesis", publisher = "????", address = "????", pages = "??--??", year = "1968", LCCN = "????", bibdate = "Fri Nov 17 09:42:41 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1968:SAS, author = "Per-Olov L{\"o}wdin", editor = "Ram{\'o}n Carb{\'o}", booktitle = "Proc. Girona Workshop on Quantum Chemistry", title = "Some Aspects on the Structure and Present Situation of Quantum Chemistry as Expressed at the {Girona Workshop}", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "605--??", year = "1968", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Dec 18 10:50:59 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "Year probably wrong: see \cite{Lowdin:1988:SAS}.", } @Article{Lowdin:1968:SCT, author = "Per-Olov L{\"o}wdin", title = "Some Comments on the Treatment of Symmetry Properties in Perturbation Theory", journal = j-IJQC-SYMP, volume = "2", number = "S2", pages = "137--150", year = "1968", CODEN = "IJQSAF", DOI = "http://dx.doi.org/10.1002/qua.560020715", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Nov 18 09:39:31 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", abstract = "The treatment of constants of motion and symmetry properties in partitioning technique and perturbation theory is briefly discussed. A constant of motion may be characterized by a set of projection operators {QQ} forming a resolution of the identity and leading to a splitting of the Hilbert space into orthogonal and non-interacting subspaces. It is shown that, in the partitioning technique, it is sufficient to consider only one such subspace at a time, which is a considerable simplification. The treatment may be extended to perturbation theory = 0 + V, and it is shown that the unperturbed Hamiltonian 0 enters the formalism only in the form of the reduced resolvents occurring in ordinary perturbation theory. It is emphasized that, even if the infinite-order expressions are unique, the finite-order expansions in the perturbation V are ambiguous, and the relation between various forms is studied.", acknowledgement = ack-nhfb, } @Article{Lowdin:1968:SPT, author = "Per-Olov L{\"o}wdin", title = "Studies in Perturbation Theory. {XIII}. {Treatment} of Constants of Motion in Resolvent Method, Partitioning Technique, and Perturbation Theory", journal = j-IJQC, volume = "2", number = "6", pages = "867--931", month = nov, year = "1968", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560020612", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Dec 15 17:45:41 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", abstract = "After a brief survey of some basic concepts in the theory of linear spaces, the eigenvalue problem is formulated in the resolvent technique based on the introduction of a reference function and a complex variable . This leads to a series of fundamental concepts including the trial wave function, the inhomogeneous equation, and finally the transition and expectation values of the Hamiltonian, of which the former renders a bracketing function for the energy. In order to avoid the explicit limiting procedures in this approach, the eigenvalue problem is then reformulated in terms of the partitioning technique which, in turn, leads to a closed form of infinite-order perturbation theory.The eigenvalue problem is greatly simplified if the Hamiltonian H has a constant of motion or has symmetry properties characterized by the group G = {g}, and the question is now how these simplifications can be incorporated into the partitioning technique and into perturbation theory. In both cases, there exists a set of projection operators {Qk} which lead to a splitting of the Hilbert space into subspaces which have virtually nothing to do with each other. It is shown that, in the partitioning technique, it is sufficient to consider one of these subspaces at a time, and the results are then generalized to perturbation theory. It turns out that the finite-order expansions are no longer unique, and the commutation rules connecting the various forms are derived. The infinite-order results are finally presented in such a form that they are later suitable for the evaluation of upper and lower bounds to the energy eigenvalues.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @InProceedings{Lowdin:1968:UIP, author = "Per-Olov L{\"o}wdin", editor = "Ram{\'o}n Carb{\'o}", booktitle = "Proc. Girona Workshop on Quantum Chemistry", title = "The Use of Inner Projections and Rational Approximations in the Future of Quantum Chemistry", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "1--??", year = "1968", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Dec 18 10:50:55 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Macintyre:1968:EED, author = "Walter M. Macintyre and Per-Olov L{\"o}wdin", title = "Electronic Energy of the {DNA} Replication Plane", journal = j-IJQC-SYMP, volume = "2", number = "S2", pages = "207--217", year = "1968", CODEN = "IJQSAF", DOI = "http://dx.doi.org/10.1002/qua.560020720", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Dec 15 18:31:20 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", abstract = "Specific sets of atomic positions for the bases in the four replication planes have been proposed. The electronic energies corresponding to these structures have been calculated by semiempirical SCF methods.", acknowledgement = ack-nhfb, } @Article{Berrondo:1969:POS, author = "Manuel Berrondo and Per-Olov L{\"o}wdin", title = "The Projection Operator for a Space Spanned by a Linearly Dependent Set", journal = j-IJQC, volume = "3", number = "6", pages = "767--780", month = nov, year = "1969", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560030604", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", abstract = "The explicit form of a projection operator constructed from a linearly dependent set is found. The relationships with canonical orthonormalization and with the cofactor matrix of the set's metric matrix are discussed. Similar expressions are obtained for the inner projection of a positive definite operator using a linearly dependent set.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1969:BRB, author = "Per-Olov L{\"o}wdin", title = "Book Review: {{\booktitle{Selected scientific papers of Egil A. Hylleraas}}. Edited by: John Midtdal, Harald Wergeland, and Knut Thalberg. Published by: NTH Press, Trondheim, Norway, 1968. Price: \$27 for both volumes}", journal = j-IJQC, volume = "3", number = "2", pages = "246--246", month = mar, year = "1969", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560030211", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sun Oct 2 10:08:11 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1960.bib", note = "See \cite{Midtdal:1968:SSPa}.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "12 Oct 2004", } @Article{Lowdin:1969:CLB, author = "Per-Olov L{\"o}wdin and Tiong-Koon Lim", title = "Calculation of lower bounds to energy eigenvalues by reduced density matrices and the representability problem", journal = j-IJQC, volume = "4", number = "S3b", pages = "697--702", day = "13--18", month = jan, year = "1969", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560040733", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 10 21:41:44 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1960.bib", note = "Supplement: Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology.", abstract = "The expectation value of the Hamiltonian H for a many-electron system may be expressed in terms of the reduced second-order density matrix and the reduced Hamiltonian K for a two-electron system. It may be shown that the antisymmetric component HAS of the original Hamiltonian is an outer projection of K with respect to the antisymmetrizer O, so that HAS = OKO. This result implies that the eigenvalues of K are, in order, lower bounds to the eigenvalues of HAS, i.e. to the eigenvalues of H associated with the antisymmetry requirement. The expectation values of K are hence often below the ground state energy of H, and the eigenvalues may be used for the calculation of lower bounds. Some numerical applications to atoms serve as an illustration, and it is shown that the lower bounds become worse as the number of electrons increases. The implications for the representability problem are discussed.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1969:EPS, author = "Per-Olov L{\"o}wdin and Osvaldo Goscinski", title = "The Exchange Phenomenon, the Symmetric Group, and the Spin Degeneracy Problem", journal = j-IJQC, volume = "4", number = "S3b", pages = "533--591", day = "13--18", month = jan, year = "1969", CODEN = "IJQSAF", DOI = "http://dx.doi.org/10.1002/qua.560040719", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 10 21:41:44 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1960.bib; nhfb-allref.bib", note = "Supplement: Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology.", abstract = "A review is given of the development of the theory of the exchange phenomenon, the permutation degeneracy, the exclusion principle, the spin, the valence bond functions, and related problems. The theory is based on the use of the fundamental units of the group algebra, and the solution to the eigenvalue problem is expressed in terms of a super secular equation. The many-electron problem is treated both in spin-free quantum mechanics and with the spin included, and it is shown that both methods lead to identical results. The various types of antisymmetric wave functions of correct total spin are studied, and alternative forms of the optimal solutions are finally discussed.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "18 Jun 2009", } @Article{Lowdin:1969:I, author = "Per-Olov Lowdin", title = "Introduction", journal = j-IJQC, volume = "3", number = "S3a", pages = "iv--x", day = "13--18", month = jan, year = "1969", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560030702", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 10 21:34:51 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1960.bib", note = "Supplement: Proceedings of the International Symposium on Atomic, Molecular, and Solid-state Theory and Quantum Biology.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "18 Jun 2009", } @Article{Lowdin:1969:PCU, author = "P.-O. L{\"o}wdin", title = "Perturbation calculation of the upper and lower limits of energy eigenvalues by partitioning technique", journal = j-M-FIZ-F, volume = "17", number = "6", pages = "515--540", year = "1969", CODEN = "MGFFAC", ISSN = "0025-0104", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", acknowledgement = ack-nhfb, } @Article{Lowdin:1969:PHF, author = "P.-O. L{\"o}wdin", title = "The projected {Hartree--Fock} method for the extension of the independent particle model", journal = j-M-FIZ-F, volume = "17", number = "6", pages = "495--514", year = "1969", CODEN = "MGFFAC", ISSN = "0025-0104", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "The physical understanding of the structure of atoms molecules and nuclei is based on the independent particle model and Slater determinants and the Hartree--Fock method are extensively used as mathematical tools within the model. The dilemma of the symmetry of the Hartree--Fock method involving Slater determinants is discussed. The projected Hartree--Fock method is described and correlation problems are dealt with", acknowledgement = ack-nhfb, } @Article{Lowdin:1969:SAH, author = "Per-Olov L{\"o}wdin", title = "Some Aspects of the Hydrogen Bond in Molecular Biology", journal = j-ANN-NY-ACAD-SCI, volume = "158", number = "1", pages = "86--95", day = "16", month = may, year = "1969", CODEN = "ANYAA9", DOI = "http://dx.doi.org/10.1111/j.1749-6632.1969.tb56215.x", ISSN = "0077-8923 (print), 1749-6632 (electronic)", ISSN-L = "0077-8923", bibdate = "Thu Dec 28 15:58:23 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MEDLINE database", acknowledgement = ack-nhfb, } @Article{Lowdin:1969:SCP, author = "Per-Olov L{\"o}wdin", title = "Some comments on the periodic system of the elements", journal = j-IJQC, volume = "3", number = "S3a", pages = "331--334", day = "13--18", month = jan, year = "1969", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560030737", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Oct 10 21:34:51 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc1960.bib", note = "Supplement: Proceedings of the International Symposium on Atomic, Molecular, and Solid-state Theory and Quantum Biology.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "18 Jun 2009", } @Article{Gruninger:1970:CAA, author = "John Gruninger and Yngve {\"O}hrn and Per-Olov L{\"o}wdin", title = "Comments on the Analysis of Atomic Correlation Energies", journal = j-J-CHEM-PHYS, volume = "52", number = "11", pages = "5551--5554", day = "1", month = jun, year = "1970", CODEN = "JCPSA6", DOI = "http://dx.doi.org/10.1063/1.1672824", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); nhfb-allref.bib", abstract = "Analysis of correlation energies is advocated in terms of average values of electronic kinetic energy, electron-nuclear attraction energy, and electron-electron repulsion energy, rather than pair energies. Exploratory calculations on the two-electron and three-electron isoelectronic sequences are reported", acknowledgement = ack-nhfb, } @Article{Lowdin:1970:CLB, author = "P.-O. L{\"o}wdin and T. K. Lim", title = "Calculation of Lower Bounds To Energy Eigenvalues by Reduced Density Matrices and the Representability Problem", journal = j-IJQC-SYMP, volume = "3", pages = "697--702", year = "1970", CODEN = "IJQSAF", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Nov 18 09:39:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1970:NP, author = "Per-Olov L{\"o}wdin", title = "On the Nonorthogonality Problem", journal = j-ADV-QUANTUM-CHEM, volume = "5", pages = "185--199", year = "1970", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60339-1", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", note = "Contribution to {Professor Ivar Waller}'s 70-Year Anniversary Volume. Earlier edition available as technical report \cite{Lowdin:1968:NOP}.", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603391", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", tableofcontents = "I. Introduction 185 \\ II. Orthonormalization Procedures 187 \\ III. Further Aspects on the Nonorthogonality Problem 195 \\ IV. Calculations of Cohesive and Elastic Properties of the Alkali Halides 196 \\ References 198", toc = "I. Introduction 185;\\ II. Orthonormalization Procedures 187;\\ III. Further Aspects on the Nonorthogonality Problem 195;\\ IV. Calculations of Cohesive and Elastic Properties of the Alkali Halides 196;\\ References 198", } @Article{Lowdin:1970:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "5", pages = "xi--xii", year = "1970", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60334-2", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603342", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1970:RCP, author = "P.-O. L{\"o}wdin and J.-L. Calais and G. Sperber and M. Hayns and T. Ahlenius", title = "Research on cohesive properties of solids in the {Uppsala} quantum chemistry group", journal = "4th Nordic solid state conference (abstracts)", volume = "", number = "", pages = "17", year = "1970", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "The following are presented: Study of the correlation energy in alkali metals: The alternant molecular orbital method is used in a set of exploratory calculations of the cohesive energy of the lithium metal. The occupation of the AMO's --- the shape of the `Fermi surface' --- is discussed, in particular with respect to its influence on the density and the cohesive energy. The internal pressure in alkali halides: The concept of internal pressure is treated with reference to existing theoretical models and calculations. A generalization of Borelius' equation of state is proposed. Cohesive energies and elastic constants of the silver halides: These are calculated from free ion Hartree--Fock orbitals by means of L{\"o}wdin's method. Construction of an orthonormal basis set suitable for crystals: A combination of various types of orthogonalization procedures is used to construct an orthonormal set of LCAO functions", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1970:RRU, author = "Per-Olov L{\"o}wdin", editor = "????", booktitle = "IBM Ludwigsburg Meeting Report", title = "Recent Research in the {Uppsala} \& {Florida Quantum Theory Projects}", publisher = pub-IBM, address = pub-IBM:adr, pages = "??--??", year = "1970", LCCN = "????", bibdate = "Fri Nov 17 09:50:13 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1970:SARa, author = "Per-Olov L{\"o}wdin", editor = "J. Dalenius and G. Karlsson and S. Malmquist", booktitle = "{Herman Wold} Dedicatory Volume", title = "Some Aspects on the Research Process in the Natural Sciences", publisher = pub-ALMQVIST-WIKSELLS, address = pub-ALMQVIST-WIKSELLS:adr, pages = "112--??", year = "1970", LCCN = "????", bibdate = "Fri Nov 17 09:47:39 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "Is this the same as Lowdin:1970:SARb??", } @InCollection{Lowdin:1970:SARb, author = "P.-O. L{\"o}wdin", booktitle = "Scientists at Work", title = "Some Aspects of the Research Process in the Natural Sciences", publisher = pub-ALMQVIST-WIKSELLS, address = pub-ALMQVIST-WIKSELLS:adr, pages = "??--??", year = "1970", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, xxnote = "Is this the same as Lowdin:1970:SARa??", } @Article{Lowdin:1970:SPI, author = "Per-Olov L{\"o}wdin", title = "Some properties of inner projections", journal = j-IJQC, volume = "5", number = "S4", pages = "231--237", year = "1970", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560050725", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", abstract = "During the last decade, inner projections of positive-definite operators have turned out to be of essential importance for constructing lower bounds to self-adjoint operators which are bounded from below. They have been utilized to construct lower bounds to energy eigenvalues, and to study the wave and reaction operators in modern perturbation theory. In this paper, a brief review is given of some of the basic properties of the inner projections.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1971:I, author = "Per-Olov L{\"o}wdin", title = "Introduction", journal = j-IJQC, volume = "5", number = "S5", pages = "xv--xvi", year = "1971", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560050802", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1971:QCM, author = "P.-O. L{\"o}wdin", title = "Quantum Chemistry and Molecular Physics of Solids", journal = "Colloq. Int. Cont. Nat. Rech. Sci.", volume = "195", number = "??", pages = "207--266", year = "1971", CODEN = "????", ISSN = "????", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, xxnote = "Check journal: should it be ``Coll. Int. Centre Nat. Rech. Sci. Paris'' as in \cite{Lowdin:1958:SDP}??", } @Unpublished{Lowdin:1971:SCT, author = "P.-O. L{\"o}wdin", title = "Some Comments on the Time-Dependent Variation Principle", pages = "????", month = dec, year = "1971", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "QTP notes. Published in \cite{Lowdin:1972:SCT}.", acknowledgement = ack-nhfb, } @Article{Lowdin:1971:SPI, author = "P.-O. L{\"o}wdin", title = "Some Properties of Inner Projections", journal = j-IJQC-SYMP, volume = "4", pages = "231--237", year = "1971", CODEN = "IJQSAF", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Dec 18 11:05:26 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; IEEE INSPEC database (1968--2000); nhfb-allref.bib", abstract = "Inner projections of positive-definite operators have turned out to be of essential importance for constructing lower bounds to self-adjoint operators which are bounded from below. They have been utilized to construct lower bounds to energy eigenvalues, and to study the wave and reaction operators in modern perturbation theory. A brief review is given of some of the basic properties of the inner projections", acknowledgement = ack-nhfb, } @Article{Lowdin:1971:SPT, author = "P.-O. L{\"o}wdin and O. Goscinski", title = "Studies in Perturbation Theory. {XIV}. {Treatment} of Constants of Motion, Degeneracies and Symmetry Properties By Means of Multidimensional Partitioning", journal = j-IJQC, volume = "5", number = "S5", pages = "685--705", day = "18--23", month = jan, year = "1971", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560050878", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Dec 15 18:31:34 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/ijqc.bib; nhfb-allref.bib", note = "Supplement: Proceedings of the International Symposium on Atomic, Molecular and Solid-State Theory and Quantum Biology.", abstract = "The multidimensional partitioning technique is reviewed, with particular emphasis on its formal properties. The treatment of constants of motion by this method coincides with a treatment given previously, involving a modified resolvent in the ordinary approach. On the other hand the present method, upon expansion, coincides with Van Vleck's perturbation theory for quasidegenerate states. Bounds and estimates of the remainder related to Pade{\'e} approximants obtained via inner projections are discussed. The construction of effective-Hamiltonians is considered, in particular the energy-independent non self-adjoint ones.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Unpublished{Lowdin:1971:TECa, author = "P.-O. L{\"o}wdin", title = "Treatment of Exchange and Correlation Effects in Crystals. {An} Introduction", pages = "????", month = dec, year = "1971", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "QTP notes.", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1971:TECb, author = "Per-Olov L{\"o}wdin", editor = "Frank Herman and Norris W. Dalton and Thomas R. Koehler", booktitle = "Computational solid state physics; proceedings of an international symposium held October 6--8, 1971, in Wildbad, Germany", title = "Treatment of Exchange and Correlation Effects in Crystals. Introductory Remarks", publisher = pub-PLENUM, address = pub-PLENUM:adr, pages = "191--204", year = "1971", ISBN = "0-306-30583-6", ISBN-13 = "978-0-306-30583-2", LCCN = "QC176.A1 I581 1971", bibdate = "Tue Dec 05 05:53:19 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", series = "IBM research symposia series", acknowledgement = ack-nhfb, bookpages = "xiv + 450", } @Article{Laskowski:1972:TCM, author = "Bernard Laskowski and Per-Olov L{\"o}wdin", title = "Treatment of Constants of Motion in the Variation Principle. {I}. {Symmetry} Properties of Variational Wavefunctions", journal = j-CHEM-PHYS-LETT, volume = "16", number = "1", pages = "1--4", day = "15", month = sep, year = "1972", CODEN = "CHPLBC", DOI = "http://dx.doi.org/10.1016/0009-2614(72)80441-X", ISSN = "0009-2614", ISSN-L = "0009-2614", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "In connection with the Schr{\"o}dinger equation $H \Psi = E \Psi$, the approximate eigenfunctions $\Phi$ situated within a subspace $M$ are studied by means of the variation principle $\delta (H)=0$. It is shown that, if the Hamiltonian $H$ has a normal constant of motion $\Lambda$ or a group $G=(g)$ of such constants, and if the subspace $M$ is stable under $\Lambda$ or the group $G=(g)$, then variational solutions $\Phi$ show exactly the same type of symmetry properties as the exact eigenfunctions", acknowledgement = ack-nhfb, } @Article{Lowdin:1972:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "6", pages = "xi--xii", year = "1972", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60540-7", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608605407", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1972:SCT, author = "P.-O. L{\"o}wdin and P. K. Mukherjee", title = "Some Comments on the Time-Dependent Variation Principle", journal = j-CHEM-PHYS-LETT, volume = "14", number = "1", pages = "1--7", year = "1972", CODEN = "CHPLBC", ISSN = "0009-2614", ISSN-L = "0009-2614", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "The time-dependent variation principle due to Frenkel is discussed from a new standpoint based on the assumption that the norm of the variational function Phi exists. By studying the expectation value of the frequency operator $j=i \delta / \delta t$, one may introduce the conventional normalization and a `phase normalization' through a special gauge transformation leading to the result $J=(H-j)=0$. It is shown that the condition $\delta J=0$ leads to Frenkel's variation principle, which is further discussed by studying the error function $\Theta =(H-i delta / delta t) Phi$.", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1972:STN, author = "P.-O. L{\"o}wdin", title = "A Stability Theorem For Normal Operators of Importance in Quantum Mechanics", type = "Technical Report", number = "TF 268", institution = inst-QTP, address = inst-QTP:adr, day = "1", month = feb, year = "1972", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, annote = "Submitted to Chem. Phys. Letters, but perhaps not published there.", } @Article{Lowdin:1972:TSB, author = "Per-Olov L{\"o}wdin and J.-L. Calais and M. R. Hayns", title = "A Theoretical Study of the Behaviour of Solids under High Pressure and the {Borelius}' Law, with Applications to the Alkali Halides", journal = j-J-NONMETALS, volume = "1", number = "1", pages = "63--78", year = "1972", CODEN = "JNMTA3", ISSN = "0090-3477", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "Borelius' equation of state has been derived from an analysis of the relations between energy, pressure and volume combined with a Pade approximant for the pressure. A modification of this equation of state is proposed. This modified expression, which is also derived from a Pade approximant, is first tested by comparison with the exact expressions that are obtained for three model potentials, the Lennard-Jones, the Morse, and the Born-Mayer potentials. It is also compared with experimental high pressure data for four alkali halides with quite good results", acknowledgement = ack-nhfb, xxnote = "Check author order?? Cannot find this journal in University of California MELVYL periodicals catalog??", } @Article{Ahlenius:1973:SCC, author = "Tor Ahlenius and Jean-Louis Calais and Per-Olov L{\"o}wdin", title = "Some Comments on the Construction of an Orthonormal Set of {LCAO} Basis Functions for Crystals", journal = j-J-PHYS-C, volume = "6", number = "11", pages = "1896--1908", day = "11", month = jun, year = "1973", CODEN = "JPSOAW", DOI = "http://dx.doi.org/10.1088/0022-3719/6/11/016", ISSN = "0022-3719", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "The non-orthogonality problem in the LCAO method for crystals is reviewed and discussed with particular emphasis on the properties of the eigenvalues of certain overlap matrices. A pilot calculation is carried out to demonstrate the numerical behaviour of these eigenvalues and related quantities when the atomic orbitals are of s- or p-type", acknowledgement = ack-nhfb, } @Article{Laskowski:1973:EGT, author = "Bernard Laskowski and Jean-Louis Calais and Per-Olov L{\"o}wdin and Piet V. Leuven", title = "Electron Gas Test for the Alternant Molecular Orbital Method", journal = j-J-PHYS-C, volume = "6", number = "18", pages = "2777--2787", day = "18", month = sep, year = "1973", CODEN = "JPSOAW", DOI = "http://dx.doi.org/10.1088/0022-3719/6/18/007", ISSN = "0022-3719", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000)", abstract = "The total energy of the uniform electron gas is calculated in the alternant molecular orbital (AMO) approximation for a cubic Fermi surface. This energy is lower than the restricted Hartree--Fock energy for the cubic Fermi surface for $r_s \geq 9.27\hbox{au}$. This transition point is discussed from the point of view of Adams' instability criterion", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1973:EMT, author = "Per-Olov L{\"o}wdin", editor = "M. (Maurice) Marois", booktitle = "From theoretical physics to biology, proceedings, Versailles, June 21--26, 1971", title = "Electronic Mobility and Transfer of Energy and Momentum as Time-Dependent Processes", publisher = "Karger", address = "Basel, Switzerland; New York, NY, USA", pages = "145--146", year = "1973", ISBN = "3-8055-1578-2", ISBN-13 = "978-3-8055-1578-8", LCCN = "QH505 .I591 1971; QT34 I59 1971", bibdate = "Fri Nov 17 09:59:56 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, bookpages = "xv + 467", } @Article{Lowdin:1973:O, author = "Per-Olov L{\"o}wdin", title = "Obituary", journal = j-IJQC, volume = "7", number = "1", pages = "i--i", year = "1973", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560070102", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1973:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "7", pages = "xi--xii", year = "1973", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60557-2", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608605572", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1974:JMJ, author = "Per-Olov L{\"o}wdin", title = "{Josef-Maria Jauch}, In Memoriam", journal = "Eur. Phys. News", volume = "12", number = "7", pages = "??--??", year = "1974", CODEN = "????", ISSN = "????", bibdate = "Fri Nov 17 10:03:28 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "Cannot find this journal in University of California MELVYL periodicals catalog?? I find a ``European Nuclear Physics News'' in the U.S. Library of Congress, but that started in 1990.", } @Article{Lowdin:1974:MOH, author = "Per-Olov L{\"o}wdin", title = "{M}{\"a}niskan och hennes psyke i den moderna kvantteorins v{\"a}rldsbild. ({Swedish}) [{Man} and his Psyche in Modern Quantum Theory's World View]", journal = "Forskning och Praktik", volume = "6", number = "??", pages = "121--125", year = "1974", CODEN = "????", ISSN = "????", bibdate = "Fri Nov 17 10:04:17 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", xxnote = "Cannot find this journal in University of California MELVYL periodicals catalog??", } @Article{Lowdin:1974:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "8", pages = "xi--xii (??)", year = "1974", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60056-8", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600568", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @InCollection{Lowdin:1975:EHF, author = "Per-Olov L{\"o}wdin", title = "2.2. An Extension of the {Hartree--Fock} Method to Include Correlation Effects", crossref = "Mehra:1975:SCP", chapter = "14", pages = "360--361", year = "1975", bibdate = "Thu Aug 23 12:33:12 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1975:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "9", pages = "ix--x", year = "1975", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60037-4", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608600374", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @TechReport{Lowdin:1975:SAOa, author = "P.-O. L{\"o}wdin", title = "Some Aspects on Objectivity and Reality in Modern Science", type = "Technical Report", number = "TU 462", institution = inst-KKUU, address = inst-KKUU:adr, year = "1975", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Also published as TF 427.", acknowledgement = ack-nhfb, } @Unpublished{Lowdin:1975:SAOb, author = "Per-Olov L{\"o}wdin", title = "Some Aspects on Objectivity and Reality in Modern Science", year = "1975", bibdate = "Fri Nov 17 10:05:21 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Lecture prepared for Greek Symposium on ``The Case of Objectivity''.", acknowledgement = ack-nhfb, } @Book{Calais:1976:QSM, author = "Jean-Louis Calais and Osvaldo Goscinski and Jan Linderberg and Yngve {\"O}hrn", title = "Quantum science: methods and structure: a tribute to {Per-Olov L{\"o}wdin}", publisher = pub-PLENUM, address = pub-PLENUM:adr, pages = "ix + 595", year = "1976", ISBN = "0-306-30968-8", ISBN-13 = "978-0-306-30968-7", LCCN = "QC174.125 .Q371", bibdate = "Thu Nov 16 14:42:12 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/bibnet/authors/s/slater-john-clarke.bib University of California MELVYL catalog", acknowledgement = ack-nhfb, keywords = "L{\"o}wdin, Per Olov, 1916; quantum theory; quantum chemistry", } @Unpublished{Lowdin:1976:FQC, author = "P.-O. L{\"o}wdin", title = "Future of Quantum Chemistry --- {A} Symposium in Honor of {Per-Olov L{\"o}wdin}: {A} Collection of Short Research Summaries of Participants", month = sep, year = "1976", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "QTP notes.", acknowledgement = ack-nhfb, } @Article{Lowdin:1976:IAV, author = "Per-Olov L{\"o}wdin", title = "Internationella aktiviteter vid {Kvantkemiska Institutionen} och Forskargruppen vid {Uppsala Universitet}. ({Swedish}) [{International} Activities at the {Quantum Chemistry Institute} and Research Group at {Uppsala University}]", journal = "Universen, Uppsala Universitet informerar", volume = "1/76", pages = "??--??", year = "1976", CODEN = "????", ISSN = "????", bibdate = "Fri Nov 17 10:06:48 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", xxnote = "Check volume/number/pages?? Cannot find this journal in University of California MELVYL periodicals catalog??", } @TechReport{Lowdin:1976:QCU, author = "Per-Olov L{\"o}wdin", title = "Quantum Chemistry at {Uppsala University}", type = "Technical Report", number = "TN 439", institution = inst-KKUU, address = inst-KKUU:adr, pages = "??", year = "1976", bibdate = "Fri Nov 17 10:10:37 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Published in Uppsala University's 500th Anniversary volume in math.-physical sciences.", acknowledgement = ack-nhfb, } @TechReport{Lowdin:1976:SAA, author = "P.-O. L{\"o}wdin", title = "Some Aspects on the {American-Swedish} Exchange in Quantum Sciences, Particularly the {Uppsala-Florida} Exchange Project", number = "TU 470", institution = inst-KKUU, address = inst-KKUU:adr, year = "1976", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", note = "Partners in Progress, A Chapter in the American-Swedish Exchange of Knowledge.", acknowledgement = ack-nhfb, xxnote = "How is this related to \cite{Lowdin:1977:U}.??", } @Article{Lowdin:1977:KCO, author = "Per-Olov L{\"o}wdin", title = "Kvantkemi, cancer och {\aa}ldrande. ({Swedish}) [{Quantum} Chemistry, Cancer, and Aging]", journal = "Svensk L{\"a}kartidning", volume = "74", number = "40", pages = "3419--3421", day = "5", month = oct, year = "1977", CODEN = "????", ISSN = "????", bibdate = "Thu Dec 28 15:57:30 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MEDLINE database", acknowledgement = ack-nhfb, language = "Swedish", xxnote = "Cannot find this journal in University of California MELVYL periodicals catalog??", } @Article{Lowdin:1977:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "10", pages = "xi--xii", year = "1977", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60576-6", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608605766", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @TechReport{Lowdin:1977:QTT, author = "P.-O. L{\"o}wdin", title = "Quantum Theory as a Trace Algebra", volume = "515", type = "Technical Report", number = "TF 515", institution = inst-QTP, address = inst-QTP:adr, year = "1977", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @InProceedings{Lowdin:1977:SAI, author = "Per-Olov L{\"o}wdin", editor = "W. O. (Winfred Oliver) Milligan", booktitle = "American chemistry: bicentennial. Proceedings of the twentieth conference held at the Shamrock Hilton Hotel, Houston, Texas, November 8--10, 1976", title = "Some Aspects on the Importance of Basic Research for Human Welfare", volume = "20", publisher = "Robert A. Welch Foundation", address = "Houston, TX, USA", pages = "264--269", year = "1977", LCCN = "QD18.U6 A52 1977", bibdate = "Mon Dec 18 10:52:16 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", series = "Proceedings of the Robert A. Welch Foundation conferences on chemical research", acknowledgement = ack-nhfb, bookpages = "x + 275", xxISBN = "none (checked on original volume)", } @Article{Lowdin:1977:SCM, author = "Per-Olov L{\"o}wdin", title = "Some Current Models of Carcinogenesis", journal = j-IJQC, volume = "12", number = "S4", pages = "185--196", day = "9--12", month = jan, year = "1977", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560120720", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Fri Dec 15 18:29:14 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Supplement: Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology.", abstract = "The various models of carcinogenesis related to the genetic dogma are reviewed: the virus model, the somatic mutation model, and the reading-error model. Also the electronic theory of cancer is discussed in this framework. It is emphasized that it is likely that cancer is a disease caused by a disturbance in the control of the cell differentiation, which may be different depending on whether the disturbance is caused by an external virus, radiation, or a chemical compound. Even some current models of aging are being briefly discussed in this connection.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", onlinedate = "18 Jun 2009", } @TechReport{Lowdin:1977:STL, author = "P.-O. L{\"o}wdin", title = "Set Theory and Linear Algebra --- Some Mathematical Tools to be Used in Quantum Theory", type = "Technical Report", number = "TN 490", institution = inst-KKUU, address = inst-KKUU:adr, year = "1977", bibdate = "Thu Nov 16 12:07:42 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; nhfb-allref.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1977:U, author = "Per-Olov L{\"o}wdin", editor = "A. Kastrup and N. Olsson", booktitle = "Partners in Progress", title = "Unknown", publisher = "Swedish Council of America", address = "????", pages = "255--??", year = "1977", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Dec 26 12:15:03 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "Cited in J. Linderberg, ``{Yngve {\"O}hrn}, Scientist, Leader, and Friend'', Advances in Quantum Chemistry {\bf 35}, 1--19 (1999). How is this related to \cite{Lowdin:1976:IAV}??", } @Article{Lowdin:1978:I, author = "Per-Olov L{\"o}wdin", title = "Introduction", journal = j-IJQC, volume = "14", number = "4", pages = "III--III", year = "1978", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560140402", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1978:KFT, author = "Per-Olov L{\"o}wdin and Jean-Louis Calais", title = "Kvantkemi --- fr{\aa}n teori till praktik. ({Swedish}) [{Quantum} Chemistry -- From Theory to Practice]", journal = j-SVENSK-KEMISK-TIDSKRIFT, volume = "??", number = "??", pages = "??--??", year = "1978", CODEN = "KETIAL", ISSN = "0039-6605", bibdate = "Fri Nov 17 10:14:02 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, language = "Swedish", xxnote = "Cannot find this journal in University of California MELVYL periodicals catalog??", } @InCollection{Lowdin:1978:LTP, author = "Per-Olov L{\"o}wdin", booktitle = "Enciclopedia della Scienca e della Technica (EST) Yearbook", title = "{``Low Temperature Physics and Cosmic Microwave Background Radiation''}: the 1978 {Nobel} prizes in physics", publisher = "Ed. Arnoldo Mondadow", address = "Milano, Italy", pages = "??--??", year = "1978", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Mon Dec 18 11:01:06 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, xxnote = "Check: Is Arnoldo Mondadow the editor, or the publisher??", } @Article{Lowdin:1978:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "11", pages = "xi--xii", year = "1978", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60231-2", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608602312", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1978:QTT, author = "Per-Olov L{\"o}wdin", title = "Quantum Theory as a Trace Algebra", journal = j-IJQC-SYMP, volume = "12", pages = "197--266", year = "1978", CODEN = "IJQSAF", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Dec 18 10:38:13 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Not in symposium volumes 11--13. Only references in Science Citation Index are to this paper, and \cite{Lowdin:1982:AQT}. See addendum comment \cite{Lowdin:1981:AQT}.", acknowledgement = ack-nhfb, } @Article{Lowdin:1979:P, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-IJQC, volume = "16", number = "1", pages = "1--2", year = "1979", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560160102", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1980:IRN, author = "Per-Olov L{\"o}wdin", title = "Introductory Remarks to {Nobel Symposium on Many-Body Theory of Atomic Systems}", journal = j-PHYSICA-SCRIPTA, volume = "21", number = "3--4", pages = "229--234", month = "????", year = "1980", CODEN = "PHSTBO", DOI = "http://dx.doi.org/10.1088/0031-8949/21/3-4/002", ISSN = "0031-8949", ISSN-L = "0031-8949", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); Science Citation Index database (1980--2000)", abstract = "A general outline is given of the many-body theory of atomic systems. Standard methods for solving the Schr{\"o}dinger equation are reviewed", acknowledgement = ack-nhfb, journalabr = "Phys Scr", } @Article{Lowdin:1980:MSCa, author = "Per-Olov L{\"o}wdin", title = "Molecular Structure Calculations", journal = j-ADV-QUANTUM-CHEM, volume = "12", pages = "263--316", year = "1980", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60318-4", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603184", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", tableofcontents = "I. Importance of the Schr{\"o}dinger Equation 264 \\ II. Calculation of Approximate Eigenfunctions 266 \\ III. Computational Problems in Molecular Studies 286 \\ IV. Some Trends in Current Molecular Structure Calculations 290 \\ V. Some Current Problems and Aspects for the Future 298 \\ Note Added in Proof 311 \\ References 312", toc = "I. Importance of the Schr{\"o}dinger Equation 264;\\ II. Calculation of Approximate Eigenfunctions 266;\\ III. Computational Problems in Molecular Studies 286;\\ IV. Some Trends in Current Molecular Structure Calculations 290;\\ V. Some Current Problems and Aspects for the Future 298;\\ Note Added in Proof 311;\\ References 312", } @InCollection{Lowdin:1980:MSCb, author = "Per-Olov L{\"o}wdin", editor = "Rita G. Lerner and George L. Trigg", booktitle = "Encyclopedia of Physics", title = "Molecular Structure Calculations --- {A} Brief Review", publisher = pub-AW, address = pub-AW:adr, pages = "??--??", year = "1980", ISBN = "0-201-04313-0", ISBN-13 = "978-0-201-04313-6", LCCN = "QC5 .E495 1980", bibdate = "Fri Nov 17 10:16:40 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", note = "Foreword by Walter Sullivan.", acknowledgement = ack-nhfb, bookpages = "xvi + 1157", } @Article{Lowdin:1980:Pa, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "12", pages = "ix--x", year = "1980", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60311-1", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; OCR scan conversion; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603111", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @InCollection{Lowdin:1980:OAI, author = "Per-Olov L{\"o}wdin", editor = "Kenichi Fukui and Bernard Pullman", booktitle = "Horizons of quantum chemistry: proceedings of the third International Congress of Quantum Chemistry, held at Kyoto, Japan, October 29--November 3, 1979", title = "Opening Address at the {3rd International Conference in Quantum Chemistry in Kyoto}", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "xv--xviii", year = "1980", ISBN = "90-277-1105-4", ISBN-13 = "978-90-277-1105-2", LCCN = "QD462.A1 I49 1979", bibdate = "Tue Dec 05 05:55:18 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, bookpages = "xviii + 292", } @Article{Lowdin:1980:Pb, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-IJQC, volume = "18", number = "1", pages = "1--1", year = "1980", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560180102", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1980:PIC, author = "P.-O. L{\"o}wdin", title = "{Proceedings of the 3rd International Congress of Quantum Chemistry --- Contributed Papers. 1. Held at Kyoto, Japan, 29 October 3 November 1979}", journal = j-IJQC, volume = "18", number = "1", pages = "1--1", month = "????", year = "1980", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @InProceedings{Lowdin:1980:SAH, author = "Per-Olov L{\"o}wdin", editor = "????", booktitle = "Proc. Eur. Acad. of Arts, Sciences, and Humanities", title = "Some Aspects on the Human Mind in View of Modern Quantum Chemistry", publisher = "UNESCO", address = "Paris, France", pages = "102--??", year = "1980", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Fri Nov 17 10:20:12 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @InCollection{Lowdin:1980:SCP, author = "Per-Olov L{\"o}wdin", editor = "Kenichi Fukui and Bernard Pullman", booktitle = "Horizons of quantum chemistry: proceedings of the third International Congress of Quantum Chemistry, held at Kyoto, Japan, October 29--November 3, 1979", title = "The Size-Consistency Problem for Large Molecules", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "193--195", year = "1980", ISBN = "90-277-1105-4", ISBN-13 = "978-90-277-1105-2", LCCN = "QD462.A1 I49 1979", bibdate = "Tue Dec 05 05:55:16 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, } @Article{Lowdin:1981:AQT, author = "Per-Olov L{\"o}wdin", title = "Addendum to {{\em `Quantum theory as a trace algebra'}}", journal = j-IJQC, volume = "20", number = "3", pages = "775--776", month = "????", year = "1981", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560200317", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Mon Dec 18 10:38:04 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); Science Citation Index database (1980--2000)", abstract = "Comments on the author's article (see ibid., vol. 12, no. 1, p. 197 (1978)) which has been discussed in several summer institutes in Uppsala. It has become evident to the author that there are many points which need clarification, e.g., the concept of `operator classes' introduced to study the fact that the expectation values of all physical observables should be real numbers", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", xxnote = "Check year in abstract: was 1977, but tentatively corrected to 1978?? This paper has only a single reference, to the author's article in International Journal of Quantum Chemistry, vol. 12, supplement 1, p. 197 (1977). However, I cannot find that paper in symposium volumes 11--13, nor in the regular journal issues for 1976--1978. That paper is recorded here as \cite{Lowdin:1978:QTT}, but that must be incorrect?? Was Technical Report QTP TF 515 \cite{Lowdin:1977:QTT} intended, or was this published elsewhere??", } @Article{Lowdin:1981:Pa, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "13", pages = "ix--x", year = "1981", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60290-7", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion; Science Citation Index database (1980--2000)", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608602907", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1981:Pb, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "14", pages = "ix--x", year = "1981", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60324-X", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion; Science Citation Index database (1980--2000)", URL = "http://www.sciencedirect.com/science/article/pii/S006532760860324X", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", journalabr = "Advan Quantum Chem", } @Article{Lowdin:1981:Pc, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-IJQC, volume = "19", number = "6", pages = "973--973", year = "1981", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560190602", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1981:PIC, author = "P.-O. L{\"o}wdin", title = "{Proceedings of the International Colloquium on the Nature of Binding in Molecular Associations, Atom Clusters, and Surface Phases Held a Sorrento, Italy 12--16 May 1980 --- Preface}", journal = j-IJQC, volume = "19", number = "6", pages = "973--973", month = "????", year = "1981", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Lowdin:1981:PISc, author = "Per-Olov L{\"o}wdin and John R. Sabin", title = "{Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology Held in Palm Coast, Florida, 5--7 March 1981 --- Introduction}", journal = j-IJQC-BIO-SYMP, volume = "8", pages = "vii--vii", year = "1981", CODEN = "IJQBDZ", ISSN = "0360-8832", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, } @Article{Lowdin:1981:PISd, author = "Per-Olov L{\"o}wdin and Yngve {\"O}hrn", title = "{Proceedings of the International Symposium on Atomic, Molecular, and Solid-State Theory, Collision Phenomena, and Computational Quantum Chemistry Held in Flagler Beach, Florida, 8--14 March 1981 --- Introduction}", journal = j-IJQC-QC-SYMP, volume = "15", pages = "iii--iv", year = "1981", CODEN = "IJQSDI", ISSN = "0161-3642", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, journalabr = "Int J Quantum Chem", } @Article{Lowdin:1981:SDC, author = "Per-Olov L{\"o}wdin and Jean Louis Calais and Jacques M. Calazans", title = "Simple Derivation of Conditions for Instability in the {Hartree--Fock} and Projected {Hartree--Fock} Schemes", journal = j-IJQC, volume = "20", number = "6", pages = "1201--1215", month = "????", year = "1981", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560200605", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); Science Citation Index database (1980--2000)", abstract = "The conditions for instability of solutions of Hartree--Fock and projected Hartree--Fock equations are derived in a form involving finite real symmetric matrices. These conditions are also expressed in terms of the Fock-Dirac density matrix, both at the spin-orbital and at the orbital level. The particular variations which give rise to the so-called singlet and triplet instabilities are described", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Taurian:1981:SRP, author = "Oscar E. Taurian and Per-Olov L{\"o}wdin", title = "Some Remarks on the Projector Associated with the Intersection of $2$ Linear Manifolds", journal = j-ACTA-PHYS-ACAD-SCI-HUNG, volume = "51", number = "1--2", pages = "5--12", month = "????", year = "1981", CODEN = "APAHAQ", DOI = "http://dx.doi.org/10.1007/BF03155558", ISSN = "0001-6705", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); Science Citation Index database (1980--2000)", abstract = "The projector associated with the intersection of two linear manifolds is derived by studying the properties of the overlap matrix between the two sets spanning the linear manifolds and its adjoint matrix. The problem is reduced to an eigenvalue problem which-besides giving an explicit solution to the intersection problem-gives some additional information about the relationship between the two linear manifolds: for instance, the existence of `pairing regions' with partial overlap, and\slash or mutually orthogonal regions with zero overlap. Finally, an alternative approach is given which may be better suited for programming purposes", acknowledgement = ack-nhfb, journalabr = "Acta Phys Acad Sci Hung", xxtitle = "Some remarks on the projector associated with the intersection of two linear manifolds", } @Article{Lowdin:1982:AQT, author = "Per-Olov L{\"o}wdin", title = "On the Axioms of Quantum Theory Formulated As a Trace Algebra", journal = j-IJQC, volume = "21", number = "1", pages = "275--353", month = "????", year = "1982", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560210126", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:DFT, author = "Per-Olov L{\"o}wdin and Jean-Louis Calais and Osvaldo Goscinski", title = "Density Functional Theory", journal = j-IJQC, volume = "21", number = "2", pages = "357--357", month = "????", year = "1982", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560210202", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:I, author = "Per-Olov L{\"o}wdin and Yngve {\"O}hrn", title = "Introduction", journal = j-IJQC, volume = "21", number = "1", pages = "1--2", year = "1982", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560210102", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1982:OSH, author = "Per-Olov L{\"o}wdin", title = "On Operators, Superoperators, {Hamiltonians}, and {Liouvillians}", journal = j-IJQC-QC-SYMP, volume = "22", number = "S16", pages = "485--560", day = "1--13", month = mar, year = "1982", CODEN = "IJQSDI", DOI = "http://dx.doi.org/10.1002/qua.560220847", ISSN = "0161-3642", MRclass = "82A15 (46N05 81C99)", MRnumber = "84k:82039", MRreviewer = "Koichiro Matsuno", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); MathSciNet database; Science Citation Index database (1980--2000)", note = "Supplement: Proceedings of the International Symposium on Quantum Chemistry, Theory of Condensed Matter, and Propagator Methods in the Quantum Theory of Matter.", abstract = "In the quantum theory of matter, the wavefunctions $\Psi$ form a linear space $( \Psi )$ which serves as a carrier space for the operators $F$ corresponding to physical observables as well as for the system operators $\Gamma$ associated with physical ensembles. The mappings of the operators $T$ in turn are called superoperators, and, of particular importance are the Liouvillian and the superevolution operator used in describing the time dependence of the system operators $\Gamma (t)$. The theory of such superoperators is reviewed in some detail. By studying the time dependence of expectation values ($F$) and time-correlation functions ($F(t)G(t')$), the connection between the superoperator approach and the conventional propagator method is explored. The eigenvalue problem of the superoperators is treated, and the principle importance of the superresolvents and the practical usefulness of the partitioning technique are employed. The `inner projections' of superoperators with respect to both orthogonal projectors and skew projectors are studied, and it is shown that they render `rational approximations' of the quantities involved which are always convergent. It is finally shown that the partitioning technique may be used also in solving the time-dependent Liouville equation", acknowledgement = ack-nhfb, journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:Pa, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "15", pages = "ix--x", year = "1982", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60120-3", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608601203", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1982:Pb, author = "Per-Olov L{\"o}wdin", title = "Preface", journal = j-ADV-QUANTUM-CHEM, volume = "16", pages = "ix--x", year = "1982", CODEN = "AQCHA9", DOI = "http://dx.doi.org/10.1016/S0065-3276(08)60349-4", ISSN = "0065-3276", ISSN-L = "0065-3276", bibdate = "Thu Oct 13 11:45:04 MDT 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/advquantumchem.bib; http://www.sciencedirect.com/science/bookseries/00653276; OCR scan conversion", URL = "http://www.sciencedirect.com/science/article/pii/S0065327608603494", acknowledgement = ack-nhfb, ajournal = "Adv. Quantum Chem.", fjournal = "Advances in Quantum Chemistry", } @Article{Lowdin:1982:Pc, author = "Per-Olov L{\"o}wdin and Jean-Louis Calais and Osvaldo Goscinski", title = "Preface", journal = j-IJQC, volume = "21", number = "1", pages = "215--215", year = "1982", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560210119", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Jun 11 12:07:10 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", } @Article{Lowdin:1982:PISc, author = "P.-O. L{\"o}wdin and J. R. Sabin", title = "{Proceedings of the International Symposium on Quantum Biology and Quantum Pharmacology Held at Palm Coast, Florida, March 4--6, 1982 --- Introduction}", journal = j-IJQC-BIO-SYMP, volume = "9", pages = "vii--vii", year = "1982", CODEN = "IJQBDZ", ISSN = "0360-8832", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:PIW, author = "P.-O. L{\"o}wdin and Y. {\"O}hrn", title = "{Proceedings of the International Workshop on Perturbation Theory at Large Order --- Held at the Sheraton Palm Coast Resort Inn Flagler Beach, Florida 2--4 March 1981 --- Introduction}", journal = j-IJQC, volume = "21", number = "1", pages = "1--2", month = "????", year = "1982", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:PTP, author = "Per-Olov L{\"o}wdin", title = "Partitioning Technique, Perturbation Theory, and Rational Approximations", journal = j-IJQC, volume = "21", number = "1", pages = "69--92", month = "????", year = "1982", CODEN = "IJQCB2", DOI = "http://dx.doi.org/10.1002/qua.560210105", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; IEEE INSPEC database (1968--2000); Science Citation Index database (1980--2000)", abstract = "Instead of the Schr{\"o}dinger equation $H \Psi =E \Psi$ subject to the boundary condition $( \phi \bmod \Psi )=1$, where $\phi$ is a normalized reference function in the Hilbert space, one studies the inhomogeneous equation $(H-E) \Psi_E=a \phi$, where $E$ is a complex variable, with the same boundary condition, which gives $a=( \phi \bmod H \bmod \Psi_E)-E=E_1-E$. Introducing the projector $P=1- \bmod \phi )( \phi \bmod$ for the complement to $O= \bmod \phi )( \phi \bmod$, one finds easily the explicit solution $\Psi_E=(1-PH/E)^{-1} \phi =(1+T_EH) \phi$, where $T_E=(E-PH)^{-1}P=P(E-PHP)^{-1}P$ is the reduced resolvent associated with the auxiliary Hamiltonian $H=PHP$. The existence of these operators is discussed. It is shown that, if the parameter $E$ is real in the `discrete part' of the spectrum to $H$, then $E$ and $E_1=(\phi \bmod H \bmod \Psi_E)=( \phi \bmod H+HT_E/H \bmod \Phi)$ identical to $f(E)$ bracket a true eigenvalue $E$ satisfying the relation $E=f(E)$. The Newton--Raphson solution to the equation $F(E)=E-f(E)=0$ is related to the variation principle. Putting $H=H_0+V$ and expanding the inverse $(E-PH_0-PV)^{-1}$ in terms of powers of $V$ or $(V-\alpha)$, one gets various expansion relating to finite-order perturbation theory. Exact expressions for the ordinary wave and reaction operators are obtained. If $A$ is an arbitrary nonsingular operator and $h = \{h_1, h_2, \ldots{}, h_n\}$ is a linearly independent set, the inner projection $\innerprojection n = |h h|A 1|h 1 h|$ is a rational approximation to the operator $A$ which converges toward $A$ when $n$ and the set $h$ becomes complete. If $A is positive (or has a finite negative part) the convergence is from below. Applying this principle to the partitioning technique, one gets rational perturbation approximations instead of the standard power series, similar to the Pad{\'e} approximants but derived in a different way with the remainder term under control. The method has been used to calculate lower bounds to eigenvalues.", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Lowdin:1982:PTW, author = "P.-O. L{\"o}wdin and J. L. Calais and O. Goscinski", title = "{Proceedings of the {Tarfala Workshop} --- Held in the {Tarfala Valley Lapland, Sweden, August 1978}}", journal = j-IJQC, volume = "21", number = "1", pages = "215--215", month = "????", year = "1982", CODEN = "IJQCB2", ISSN = "0020-7608 (print), 1097-461X (electronic)", ISSN-L = "0020-7608", bibdate = "Wed Dec 13 19:08:28 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nhfb, ajournal = "Int. J. Quantum Chem.", fjournal = "International Journal of Quantum Chemistry", journalabr = "Int J Quantum Chem", } @Article{Taurian:1982:SRP, author = "Oscar E. Taurian and Per-Olov L{\"o}wdin", title = "Some remarks on the projector associated with the intersection of two linear manifolds", journal = j-ACTA-PHYS-ACAD-SCI-HUNG, volume = "51", number = "1--2", pages = "5--12", year = "1982", CODEN = "APAHAQ", ISSN = "0001-6705", MRclass = "65F30", MRnumber = "83i:65038", MRreviewer = "K. Veseli{\'c}", bibdate = "Thu Nov 16 11:51:44 MST 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; MathSciNet database", note = "R. Gaspar dedicatory volume.", acknowledgement = ack-nhfb, journalabr = "Acta Phys. Acad. Sci. Hungar.", } @Article{Froelich:1983:HFS, author = "Piotr Froelich and Per-Olov L{\"o}wdin", title = "On the {Hartree--Fock} Scheme for a Pair of Adjoint Operators", journal = j-J-MATH-PHYS, volume = "24", number = "1", pages = "88--96", month = jan, year = "1983", CODEN = "JMAPAQ", DOI = "http://dx.doi.org/10.1063/1.525605", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "47A70 (49G20 81C12 81H10)", MRnumber = "85b:47020b", MRreviewer = "I. Gottlieb", bibdate = "Sat Dec 16 10:40:43 2000", bibsource = "http://falcon.kvac.uu.se/swe/personal/PerOlovLowdinPub.html; http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/l/lowdin-per-olov.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib; IEEE INSPEC database (1968--2000); MathSciNet database; Science Citation Index database (1980--2000); Zentralblatt Math database", ZMnumber = "559.46037", abstract-1 = "The paper deals with the question whether the Hartree--Fock method may be extended to a general linear many-particle operator $T$ of the form $$ T=T_{(0)}+\sum_iT_i+\sum_{i