Approximate analytical solutions of the Klein-Gordon equation for the Hulthen potential with the position-dependent mass

Arda A., Sever R., TEZCAN C.

PHYSICA SCRIPTA, vol.79, no.1, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1088/0031-8949/79/01/015006
  • Title of Journal : PHYSICA SCRIPTA


The Klein-Gordon equation is solved approximately for the Hulthen potential for any angular momentum quantum number l with the position-dependent mass. Solutions are obtained by reducing the Klein-Gordon equation into a Schrodinger-like differential equation using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the wavefunctions. It is found that the results in the case of constant mass are in good agreement with the ones obtained in the literature.