
Accession Number : AD0416273
Title : TIMEINDEPENDENT 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 oneelectron Schrodinger equation for Hamiltonian (Ho) is also the solution to the Schrodinger equation for a particular gaugetransformed 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 manyelectron gaugetransformation 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 multicenter 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