Eur. Phys. J. A (2006) 27: 99-103
https://doi.org/10.1140/epja/i2005-10192-1

Interdisciplinary Topics

Perturbation theory for isotropic velocity-dependent potentials: Bound-states case

Hashemite University, P.O. Box 150459, 13115, Zarka, Jordan

^* e-mail: mij@hu.edu.jo,

Received: 20 October 2005
Accepted: 11 January 2006
Published online: 23 January 2006

Abstract

Starting from the time-independent Schrödinger equation we develop formulae for the changes in the bound-state energies in the presence of an isotropic, velocity-dependent perturbing potential. The corresponding changes in the wave functions are also obtained. Unlike the case of the standard perturbation theory, determination of the changes in the energy and the wave function of a state only requires knowledge of the unperturbed ground-state wave function in addition to the perturbing potential. Evaluations of the energy changes and the corresponding wave functions are given for two examples in the s-wave case.