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 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 8
  • Publication Date: 2006
  • Doi Number: 10.1063/1.2227258
  • Journal Name: Journal of Mathematical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Erciyes University Affiliated: Yes

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, θ) = α/r+β/(r2 sin 2 θ) + γcos θ/(r2 sin2 θ) type. © 2006 American Institute of Physics.