Journal of Physics A Mathematical and General

The operator method of the approximate description of the quantum and classical systems

И. Д. Феранчук, L I Komarov

Published Nov 11, 1984• 30 citations

Abstract

Systematic theory of the operator method (OM) of the approximate solution of the Schrodinger equation is considered. The eigenfunctions and eigenvalues for various one- and many-dimensional systems are calculated and the arguments of the convergence of the OM perturbation series are discussed. It is also shown that OM permits one to develop the absolute convergent approximation in the theory of nonlinear oscillations of the classical systems.

DOI: 10.1088/0305-4470/17/16/014

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