Perturbation theory for particle in one-dimensional, central- or axial-symmetric fields

Yu. I. Polyakov

Sofia University St. Kliment Ohridski

Abstract: Perturbation theory for which all corrections to a nonperturbed state are defined by its wave function is obtained. A new applicability condition for this theory is formulated. By considering a simple example comparison with the Rayleigh–Schrödinger perturbation theory giving an analytical expression for the corresponding series is performed.

Received: 25.03.1996
Revised: 10.01.1997

DOI: 10.4213/tmf1032

 English version: Theoretical and Mathematical Physics, 1997, 112:1, 888–891

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