Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials


Taskin F., Boztosun I., Bayrak O.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.6, pp.1612-1617, 2008 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1007/s10773-007-9602-0
  • Title of Journal : INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Page Numbers: pp.1612-1617

Abstract

We obtain the exact analytical solution of the Klein-Gordon equation for the exponential vector and scalar potentials by using the asymptotic iteration method. For the scalar potential greater than the vector potential case, the exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunction solutions are obtained in terms of the confluent hypergeometric functions.