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Comparison of two perturbation methods
Author(s) -
Singh S. R.,
Smith V. H.
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.560040506
Subject(s) - perturbation (astronomy) , normalization (sociology) , ion , physics , perturbation theory (quantum mechanics) , schrödinger equation , rayleigh scattering , quantum electrodynamics , poincaré–lindstedt method , quantum mechanics , atomic physics , sociology , anthropology
Polikanov's perturbation method for the solution of the radial Schrödinger equation is shown to be equivalent to the usual Rayleigh‐Schrödinger method but with full normalization instead of intermediate noralization. The energy corrections are shown to be the same to all orders. The computational advantages of Polikanov's method are discussed. The method is illustrated by considering the two‐electron ions in the Hartree–Fock approximation.