Exact analytical solution to the relativistic Klein-Gordon equation with noncentral equal scalar and vector potentials


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Yasuk F. , Durmus A. , Boztosun I.

JOURNAL OF MATHEMATICAL PHYSICS, vol.47, no.8, 2006 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 8
  • Publication Date: 2006
  • Doi Number: 10.1063/1.2227258
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS

Abstract

We present an alternative and simple method for the exact solution of the Klein-Gordon equation in the presence of the noncentral equal scalar and vector potentials by using Nikiforov-Uvarov method. The exact bound state energy eigenvalues and corresponding eigenfunctions are obtained for a particle bound in a potential of V(r,theta)=alpha/r+beta/(r(2) sin(2) theta)+gamma cos theta/(r(2) sin(2) theta) type. (c) 2006 American Institute of Physics.