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Proceedings of the Royal Society of London A Mathematical and Physical Sciences

Operator equations in perturbation theory

A. M. Arthurs, Peter D. Robinson

Published Nov 7, 1967• 9 citations
Publisher

Abstract

Abstract Quantum mechanical perturbation theory is discussed in terms of solutions W of commutator equations of the type [h, W] = A. The operators W lead to perturbation corrections for any eigenstate of the unperturbed system. The theory is illustrated by considering the linear harmonic oscillator perturbed by the Nth power of the displacement.

DOI
10.1098/rspa.1967.0222

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