\relax \providecommand\hyper@newdestlabel[2]{} \bbl@beforestart \providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} \HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined \global\let\oldcontentsline\contentsline \gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} \global\let\oldnewlabel\newlabel \gdef\newlabel#1#2{\newlabelxx{#1}#2} \gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} \AtEndDocument{\ifx\hyper@anchor\@undefined \let\contentsline\oldcontentsline \let\newlabel\oldnewlabel \fi} \fi} \global\let\hyper@last\relax \gdef\HyperFirstAtBeginDocument#1{#1} \providecommand\HyField@AuxAddToFields[1]{} \providecommand\HyField@AuxAddToCoFields[2]{} \babel@aux{english}{} \citation{Bittner_2012} \citation{Chong_2011} \citation{Chtchelkatchev_2012} \citation{Doppler_2016} \citation{Guo_2009} \citation{Hang_2013} \citation{Liertzer_2012} \citation{Longhi_2010} \citation{Peng_2014} \citation{Peng_2014a} \citation{Regensburger_2012} \citation{Ruter_2010} \citation{Schindler_2011} \citation{Szameit_2011} \citation{Zhao_2010} \citation{Zheng_2013} \citation{Choi_2018} \citation{El-Ganainy_2018} \citation{Heiss_1990} \citation{Heiss_1999} \citation{Heiss_2012} \citation{Heiss_2016} \citation{Yarkony_1996} \citation{Berry_1984} \citation{MoiseyevBook} \citation{Olsen_1996} \citation{Olsen_2000} \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{3}{section.1}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {2}Perturbation theory}{3}{section.2}\protected@file@percent } \citation{Moller_1934} \citation{Gill_1986} \citation{Gill_1998} \citation{Handy_1985} \citation{Leininger_2000} \citation{Gill_1986} \citation{Gill_1998} \citation{Handy_1985} \citation{Leininger_2000} \citation{SzaboBook} \citation{Fukutome_1981} \@writefile{toc}{\contentsline {section}{\numberline {3}Historical overview}{5}{section.3}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Behavior of the M{\o }ller-Plesset series}{5}{subsection.3.1}\protected@file@percent } \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces \centering Barriers to homolytic fission of \ce {He2^2+} at MPn/STO-3G level ($n = 1$--$20$).}}{5}{figure.1}\protected@file@percent } \newlabel{fig:my_label}{{1}{5}{\centering Barriers to homolytic fission of \ce {He2^2+} at MPn/STO-3G level ($n = 1$--$20$)}{figure.1}{}} \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces \centering Percentage of electron correlation energy recovered and $\expval {S^2}$ for the \ce {H2} molecule as a function of bond length (r,\si {\angstrom }) in the STO-3G basis set.}}{5}{table.1}\protected@file@percent } \newlabel{tab:my_label}{{1}{5}{\centering Percentage of electron correlation energy recovered and $\expval {S^2}$ for the \ce {H2} molecule as a function of bond length (r,\si {\angstrom }) in the STO-3G basis set}{table.1}{}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces \centering Correlation contributions for \ce {Ne} and \ce {HF} in the cc-pVTZ-(f/d) $\circ $ and aug-cc-pVDZ $\bullet $ basis sets.}}{6}{figure.2}\protected@file@percent } \newlabel{fig:my_label}{{2}{6}{\centering Correlation contributions for \ce {Ne} and \ce {HF} in the cc-pVTZ-(f/d) $\circ $ and aug-cc-pVDZ $\bullet $ basis sets}{figure.2}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}The singularity structure}{6}{subsection.3.2}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}The physics of quantum phase transition}{7}{subsection.3.3}\protected@file@percent } \@writefile{toc}{\contentsline {section}{\numberline {4}The spherium model}{7}{section.4}\protected@file@percent } \bibstyle{unsrt} \bibdata{Rapport} \bibcite{Bittner_2012}{1} \bibcite{Chong_2011}{2} \bibcite{Chtchelkatchev_2012}{3} \bibcite{Doppler_2016}{4} \bibcite{Guo_2009}{5} \bibcite{Hang_2013}{6} \bibcite{Liertzer_2012}{7} \bibcite{Longhi_2010}{8} \bibcite{Peng_2014}{9} \bibcite{Peng_2014a}{10} \bibcite{Regensburger_2012}{11} \bibcite{Ruter_2010}{12} \bibcite{Schindler_2011}{13} \bibcite{Szameit_2011}{14} \bibcite{Zhao_2010}{15} \bibcite{Zheng_2013}{16} \bibcite{Choi_2018}{17} \bibcite{El-Ganainy_2018}{18} \bibcite{Heiss_1990}{19} \bibcite{Heiss_1999}{20} \bibcite{Heiss_2012}{21} \bibcite{Heiss_2016}{22} \bibcite{Yarkony_1996}{23} \bibcite{Berry_1984}{24} \bibcite{MoiseyevBook}{25} \bibcite{Olsen_1996}{26} \bibcite{Olsen_2000}{27} \bibcite{Moller_1934}{28} \bibcite{Gill_1986}{29} \bibcite{Handy_1985}{30} \bibcite{Leininger_2000}{31} \bibcite{SzaboBook}{32} \bibcite{Fukutome_1981}{33}