This commit is contained in:
Pierre-Francois Loos 2020-12-04 09:17:23 +01:00
parent bb63bf17e1
commit 92083ec221
3 changed files with 34 additions and 11 deletions

View File

@ -6,7 +6,7 @@
%Control: page (0) single %Control: page (0) single
%Control: year (1) truncated %Control: year (1) truncated
%Control: production of eprint (0) enabled %Control: production of eprint (0) enabled
\begin{thebibliography}{153}% \begin{thebibliography}{154}%
\makeatletter \makeatletter
\providecommand \@ifxundefined [1]{% \providecommand \@ifxundefined [1]{%
\@ifx{#1\undefined} \@ifx{#1\undefined}
@ -135,6 +135,21 @@
{Plesset}},\ }\href {\doibase 10.1103/PhysRev.46.618} {\bibfield {journal} {Plesset}},\ }\href {\doibase 10.1103/PhysRev.46.618} {\bibfield {journal}
{\bibinfo {journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {46}},\ {\bibinfo {journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {46}},\
\bibinfo {pages} {618} (\bibinfo {year} {1934})}\BibitemShut {NoStop}% \bibinfo {pages} {618} (\bibinfo {year} {1934})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Wigner}(1934)}]{Wigner_1934}%
\BibitemOpen
\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont
{Wigner}},\ }\href {\doibase 10.1103/PhysRev.46.1002} {\bibfield {journal}
{\bibinfo {journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {46}},\
\bibinfo {pages} {1002} (\bibinfo {year} {1934})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {L\"owdin}(1958)}]{Lowdin_1958}%
\BibitemOpen
\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.-O.}\ \bibnamefont
{L\"owdin}},\ }\enquote {\bibinfo {title} {Correlation problem in
many-electron quantum mechanics i. review of different approaches and
discussion of some current ideas},}\ in\ \href {\doibase
https://doi.org/10.1002/9780470143483.ch7} {\emph {\bibinfo {booktitle} {Adv.
Chem. Phys.}}}\ (\bibinfo {publisher} {John Wiley \& Sons, Ltd},\ \bibinfo
{year} {1958})\ pp.\ \bibinfo {pages} {207--322}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Laidig}\ \emph {et~al.}(1985)\citenamefont {Laidig}, \bibitem [{\citenamefont {Laidig}\ \emph {et~al.}(1985)\citenamefont {Laidig},
\citenamefont {Fitzgerald},\ and\ \citenamefont {Bartlett}}]{Laidig_1985}% \citenamefont {Fitzgerald},\ and\ \citenamefont {Bartlett}}]{Laidig_1985}%
\BibitemOpen \BibitemOpen
@ -695,12 +710,6 @@
10.1140/epjb/e2018-90114-9} {\bibfield {journal} {\bibinfo {journal} {Eur. 10.1140/epjb/e2018-90114-9} {\bibfield {journal} {\bibinfo {journal} {Eur.
Phys. J. B}\ }\textbf {\bibinfo {volume} {91}},\ \bibinfo {pages} {142} Phys. J. B}\ }\textbf {\bibinfo {volume} {91}},\ \bibinfo {pages} {142}
(\bibinfo {year} {2018})}\BibitemShut {NoStop}% (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Wigner}(1934)}]{Wigner_1934}%
\BibitemOpen
\bibfield {author} {\bibinfo {author} {\bibfnamefont {E.}~\bibnamefont
{Wigner}},\ }\href {\doibase 10.1103/PhysRev.46.1002} {\bibfield {journal}
{\bibinfo {journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {46}},\
\bibinfo {pages} {1002} (\bibinfo {year} {1934})}\BibitemShut {NoStop}%
\bibitem [{\citenamefont {Cejnar}\ \emph {et~al.}(2007)\citenamefont {Cejnar}, \bibitem [{\citenamefont {Cejnar}\ \emph {et~al.}(2007)\citenamefont {Cejnar},
\citenamefont {Heinze},\ and\ \citenamefont {Macek}}]{Cejnar_2007}% \citenamefont {Heinze},\ and\ \citenamefont {Macek}}]{Cejnar_2007}%
\BibitemOpen \BibitemOpen

View File

@ -1,13 +1,27 @@
%% This BibTeX bibliography file was created using BibDesk. %% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/ %% http://bibdesk.sourceforge.net/
%% Created for Pierre-Francois Loos at 2020-12-03 21:55:19 +0100 %% Created for Pierre-Francois Loos at 2020-12-04 09:17:19 +0100
%% Saved with string encoding Unicode (UTF-8) %% Saved with string encoding Unicode (UTF-8)
@inbook{Lowdin_1958,
abstract = {Summary This chapter contains sections titled: Introduction Formulation of the Correlation Problem Methods for Treating Electronic Correlation Recent Developments; Concluding Remarks},
author = {L\"owdin, Per-Olov},
booktitle = {Adv. Chem. Phys.},
date-added = {2020-12-04 09:13:16 +0100},
date-modified = {2020-12-04 09:16:18 +0100},
doi = {https://doi.org/10.1002/9780470143483.ch7},
pages = {207-322},
publisher = {John Wiley \& Sons, Ltd},
title = {Correlation Problem in Many-Electron Quantum Mechanics I. Review of Different Approaches and Discussion of Some Current Ideas},
year = {1958},
Bdsk-Url-1 = {https://onlinelibrary.wiley.com/doi/abs/10.1002/9780470143483.ch7},
Bdsk-Url-2 = {https://doi.org/10.1002/9780470143483.ch7}}
@article{Schrodinger_1926, @article{Schrodinger_1926,
author = {Schr{\"o}dinger, E.}, author = {Schr{\"o}dinger, E.},
date-added = {2020-12-03 21:17:40 +0100}, date-added = {2020-12-03 21:17:40 +0100},
@ -2302,10 +2316,9 @@
@article{Wigner_1934, @article{Wigner_1934,
author = {Wigner, E.}, author = {Wigner, E.},
date-modified = {2020-12-04 09:10:54 +0100},
doi = {10.1103/PhysRev.46.1002}, doi = {10.1103/PhysRev.46.1002},
journal = {Phys. Rev.}, journal = {Phys. Rev.},
month = dec,
number = {11},
pages = {1002--1011}, pages = {1002--1011},
title = {On the {Interaction} of {Electrons} in {Metals}}, title = {On the {Interaction} of {Electrons} in {Metals}},
volume = {46}, volume = {46},

View File

@ -184,7 +184,8 @@ In particular, time-independent Rayleigh--Schr\"odinger perturbation theory \cit
% Moller-Plesset % Moller-Plesset
The workhorse of time-independent perturbation theory is most certainly M\o{}ller--Plesset (MP) perturbation The workhorse of time-independent perturbation theory is most certainly M\o{}ller--Plesset (MP) perturbation
theory which remains one of the most popular methods for computing the electron correlation energy.\cite{Moller_1934} theory \cite{Moller_1934} which remains one of the most popular methods for computing the electron correlation energy,
an old yet important concept, first introduced by Wigner \cite{Wigner_1934} and later defined by L\"owdin. \cite{Lowdin_1958}
In this approach, the exact electronic energy is estimated by constructing a perturbative correction on top In this approach, the exact electronic energy is estimated by constructing a perturbative correction on top
of a mean-field Hartree--Fock (HF) approximation.\cite{SzaboBook} of a mean-field Hartree--Fock (HF) approximation.\cite{SzaboBook}
The popularity of MP theory stems from its black-box nature and relatively low computational scaling, The popularity of MP theory stems from its black-box nature and relatively low computational scaling,