Accession Number : AD0416273

Title :   TIME-INDEPENDENT PERTURBATION THEORY BY GAUGE TRANSFORMATIONS,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS

Personal Author(s) : Musher,Jeremy I.

Report Date : 04 APR 1963

Pagination or Media Count : 24

Abstract : It is shown that a given solution of a one-electron Schrodinger equation for Hamiltonian (Ho) is also the solution to the Schrodinger equation for a particular gauge-transformed Hamiltonian when any given perturbation is added to Ho. This transformation is obtained from solutions to inhomogeneous partial differential equations similar to those of Dalgarno and Schwartz and it has the virtue of giving the energy expectation value in a particularly simple form. The corresponding many-electron gauge-transformation is also treated, and despite the fact that the equations obtained are in general not exactly soluble, the procedure does provide a useful visualization of the electron correlation contributions to the energy. An approximation for multi-center wave functions, which amounts to choosing a different gauge for each center, is also presented and the error introduced is discussed. (Author)

Descriptors :   (*PERTURBATION THEORY, TRANSFORMATIONS (MATHEMATICS)), PARTIAL DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE