Eur. Phys. J. A (2006) 28: 253-257
https://doi.org/10.1140/epja/i2006-10047-3

Interdisciplinary Topics

Effect of ordering ambiguity in constructing the Schrödinger equation on perturbation theory

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

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

Received: 22 February 2006
Accepted: 11 May 2006
Published online: 9 June 2006

Abstract

This work explores the application of perturbation formalism, developed for isotropic velocity-dependent potentials, to three-dimensional Schrödinger equations obtained using different orderings of the Hamiltonian. It is found that the formalism is applicable to Schrödinger equations corresponding to three possible ordering ambiguities. The validity of the derived expressions is verified by considering examples admitting exact solutions. The perturbative results agree quite well with the exactly obtained ones.