\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