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Antoine Marie 2020-07-16 15:08:11 +02:00
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\nomenclatureentry{aEP@[{EP}]\begingroup Exceptional points\nomeqref {0}|nompageref}{3}

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\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Perturbation theory}{}% 2
\BOOKMARK [1][-]{section.3}{Historical overview}{}% 3
\BOOKMARK [2][-]{subsection.3.1}{Behavior of the M\370ller-Plesset series}{section.3}% 4
\BOOKMARK [2][-]{subsection.3.2}{Cases of divergence}{section.3}% 5
\BOOKMARK [2][-]{subsection.3.3}{The singularity structure}{section.3}% 6
\BOOKMARK [2][-]{subsection.3.4}{The physics of quantum phase transition}{section.3}% 7
\BOOKMARK [1][-]{section.4}{The spherium model}{}% 8
\BOOKMARK [2][-]{subsection.4.1}{Weak correlation regime}{section.4}% 9
\BOOKMARK [3][-]{subsubsection.4.1.1}{Restricted and unrestricted equation for the spherium model}{subsection.4.1}% 10
\BOOKMARK [3][-]{subsubsection.4.1.2}{The minimal basis example}{subsection.4.1}% 11
\BOOKMARK [3][-]{subsubsection.4.1.3}{Symmetry-broken solutions}{subsection.4.1}% 12
\BOOKMARK [2][-]{subsection.4.2}{Strongly correlated regime}{section.4}% 13
\BOOKMARK [1][-]{section.5}{Radius of convergence and exceptional points}{}% 14
\BOOKMARK [2][-]{subsection.5.1}{Evolution of the radius of convergence}{section.5}% 15
\BOOKMARK [2][-]{subsection.5.2}{Exceptional points}{section.5}% 16
\BOOKMARK [1][-]{section.6}{To do list}{}% 17
\BOOKMARK [1][-]{section.7}{Conclusion}{}% 18
\BOOKMARK [1][-]{appendix.A}{ERHF and EUHF}{}% 19

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\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax
\babel@toc {english}{}
\contentsline {section}{\numberline {1}Introduction}{3}{section.1}%
\contentsline {section}{\numberline {2}Perturbation theory}{3}{section.2}%
\contentsline {section}{\numberline {3}Historical overview}{5}{section.3}%
\contentsline {subsection}{\numberline {3.1}Behavior of the M{\o }ller-Plesset series}{5}{subsection.3.1}%
\contentsline {subsection}{\numberline {3.2}Cases of divergence}{6}{subsection.3.2}%
\contentsline {subsection}{\numberline {3.3}The singularity structure}{7}{subsection.3.3}%
\contentsline {subsection}{\numberline {3.4}The physics of quantum phase transition}{9}{subsection.3.4}%
\contentsline {section}{\numberline {4}The spherium model}{9}{section.4}%
\contentsline {subsection}{\numberline {4.1}Weak correlation regime}{10}{subsection.4.1}%
\contentsline {subsubsection}{\numberline {4.1.1}Restricted and unrestricted equation for the spherium model}{10}{subsubsection.4.1.1}%
\contentsline {subsubsection}{\numberline {4.1.2}The minimal basis example}{10}{subsubsection.4.1.2}%
\contentsline {subsubsection}{\numberline {4.1.3}Symmetry-broken solutions}{11}{subsubsection.4.1.3}%
\contentsline {subsection}{\numberline {4.2}Strongly correlated regime}{11}{subsection.4.2}%
\contentsline {section}{\numberline {5}Radius of convergence and exceptional points}{11}{section.5}%
\contentsline {subsection}{\numberline {5.1}Evolution of the radius of convergence}{11}{subsection.5.1}%
\contentsline {subsection}{\numberline {5.2}Exceptional points}{11}{subsection.5.2}%
\contentsline {section}{\numberline {6}To do list}{11}{section.6}%
\contentsline {section}{\numberline {7}Conclusion}{11}{section.7}%
\contentsline {section}{\numberline {A}ERHF and EUHF}{15}{appendix.A}%