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Brillouin-Wigner perturbation theory and the generalized eigenvalue equation

✍ Scribed by C. Laughlin; M. R. Woodward; A. T. Amos

Publisher
John Wiley and Sons
Year
1974
Tongue
English
Weight
340 KB
Volume
8
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

A Brillouin‐Wigner perturbation expansion is derived for the generalized eigenvalue equation (F~0~ + F~1~)Ψ = μ__A__Ψ. The theory is applied through second order to calculate the ground‐state energies of the helium atom and the hydrogen molecular ion. The results are compared with the corresponding Rayleigh‐Schrödinger expansion. For the examples we consider, the Brillouin‐Wigner results through second order are generally superior to the Rayleigh‐Schrödinger ones.

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