Curvature theorem for scattering states in charged systems

摘要: Under a $(2,N\ensuremath{-}2)$ factorization assumption for many-electron states, curvature theorem is proposed that relates the zero-separation value and of two-particle positional correlation functions in quantum many-body systems with Coulomb interactions. Unlike first derivative counterpart, true all holds scattering states. It can be used to derive new sum rules partial structure factors. By way application, discussion its possible use developing criterion bound-state transition charged given, supporting arguments are presented both at single-particle many-particle level.