Relativistic solution in D-dimensions to a spin-zero particle for equal scalar and vector ring-shaped Kratzer potential

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IKHDAİR S., Sever R.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.6, no.1, pp.141-152, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.2478/s11534-008-0018-0
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.141-152
  • Keywords: energy eigenvalues and eigenfunctions, Klein-Gordon equation, magnonics, Kratzer potential, ring-shaped potential, non-central potentials, Nikiforov and Uvarov method, KLEIN-GORDON EQUATION, NIKIFOROV-UVAROV METHOD, BETHE-SALPETER-EQUATION, PATH-INTEGRAL SOLUTION, B-C MESON, BOUND-STATES, SCHRODINGER-EQUATION, DIRAC-EQUATION, PSEUDOHARMONIC OSCILLATOR, NONCENTRAL POTENTIALS
  • Middle East Technical University Affiliated: Yes

Abstract

The Klein-Gordon equation in D-dimensions for a recently proposed ring-shaped Kratzer potential is solved analytically by means of the conventional Nikiforov-Uvarov method. The exact energy bound states and the corresponding wave functions of the Klein-Gordon are obtained in the presence of the non-central equal scalar and vector potentials. The results obtained in this work are more general and can be reduced to the standard forms in three dimensions given by other works.