EXACT BOUND STATES OF THE D-DIMENSIONAL KLEIN-GORDON EQUATION WITH EQUAL SCALAR AND VECTOR RING-SHAPED PSEUDOHARMONIC POTENTIAL


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IKHDAİR S., Sever R.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.19, no.9, pp.1425-1442, 2008 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 9
  • Publication Date: 2008
  • Doi Number: 10.1142/s0129183108012923
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.1425-1442
  • Keywords: Bound states, energy eigenvalues and eigenfunctions, Klein Gordon equation, pseudoharmonic potential, ring-shaped potential, non-central potentials, Nikiforov and Uvarov method, NIKIFOROV-UVAROV METHOD, QUANTUM-MECHANICAL OSCILLATOR, ORBITAL ANGULAR MOMENTUM, BETHE-SALPETER-EQUATION, SPIN-ZERO PARTICLE, N-EXPANSION METHOD, B-C MESON, SCHRODINGER-EQUATION, DIRAC-EQUATION, RELATIVISTIC KINEMATICS

Abstract

We present the exact solution of the Klein Gordon equation in D-dimensions in the presence of the equal scalar and vector pseudoharmonic potential plus the ring-shaped potential using the Nikiforov-Uvarov method. We obtain the exact bound state energy levels and the corresponding eigen functions for a spin-zero particles. We also find that the solution for this ring-shaped pseudoharmonic potential can be reduced to the three-dimensional (3D) pseudoharmonic solution once the coupling constant of the angular part of the potential becomes zero.