INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.19, no.9, pp.1425-1442, 2008 (Peer-Reviewed Journal)
Article / Article
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
Science Citation Index Expanded, Scopus
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
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.