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Combinatorical analysis of the Rayleigh–Schrödinger perturbation theory based on a circular scale of time
Author(s) -
Olszewski S.
Publication year - 2003
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.10776
Subject(s) - perturbation (astronomy) , poincaré–lindstedt method , rayleigh scattering , perturbation theory (quantum mechanics) , physics , schrödinger's cat , quantum , mathematical physics , quantum mechanics , mathematics
Contractions of events examined on a circular scale of time have been applied to combinatorical analysis of the Rayleigh–Schrödinger (RS) perturbation theory. The main practical aim of the analysis was to split any of the RS perturbation terms for energy belonging to an order N into product of RS energy terms belonging to perturbation orders N′, N″, N‴ … lower than N. Solely the perturbation of a nondegenerate state is examined. The analysis is illustrated by the whole ensemble of the RS perturbation terms entering the perturbation orders N = 8, 9, and 10 taken as examples. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2004