The linked-diagram expansion of the ground state of a many-electron system: A time-independent derivation

Abstract

A time-independent derivation of the linked-diagram expansion of the ground-state energy of a many-electron system is given for the case of a nondegenerate unperturbed system. The starting point is the Rayleigh-Schroedinger perturbation theory, and the derivation follows in many respects suggestions by Cizek and Paldus, including the use of the Frantz-Mills factorization theorem for the cancellation of unlinked and renormalization diagrams.