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Die Konvergenz der Brillouin–Wigner Störungsrechnung
Author(s) -
Ahlrichs Reinhart
Publication year - 1970
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.560040204
Subject(s) - poincaré–lindstedt method , perturbation theory (quantum mechanics) , perturbation (astronomy) , mathematical physics , mathematics , brillouin zone , physics , mathematical analysis , quantum mechanics
It is the aim of the present paper to give a mathematically oriented foundation of BW ‐perturbation theory, which is along the lines of Kato's previous work for RS ‐perturbation theory. For this purpose we firstly derive the expressions of BW ‐perturbation theory by the use of the contour integral method (Kap. I). In Kap. II sufficient criteria for the convergence of BW ‐perturbation theory are derived and applied to the 1/ Z ‐expansion of the isoelectronic series of the He atom. The characteristic differences of the derivation and convergence properties of the two different kinds of perturbation theory are discussed in detail.