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The linked‐diagram expansion of the ground state of a many‐electron system: A time‐independent derivation
Author(s) -
Manne Rolf
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560120822
Subject(s) - ground state , diagram , renormalization , perturbation theory (quantum mechanics) , factorization , physics , perturbation (astronomy) , electron , quantum mechanics , mathematical physics , mathematics , quantum electrodynamics , statistical physics , statistics , algorithm
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‐Schrödinger perturbation theory, and the derivation follows in many respects suggestions by Čížek and Paldus, including the use of the Frantz‐Mills factorization theorem for the cancellation of unlinked and renormalization diagrams.