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

Sameer M. Ikhdair () and Ramazan Sever ()
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Sameer M. Ikhdair: Department of Physics, Near East University, Nicosia, Cyprus, Mersin 10, Turkey
Ramazan Sever: Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 09, 1425-1442

Abstract: We present the exact solution of the Klein–Gordon equation inD-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.

Keywords: Bound states; energy eigenvalues and eigenfunctions; Klein–Gordon equation; pseudoharmonic potential; ring-shaped potential; non-central potentials; Nikiforov and Uvarov method; 03.65.-w; 03.65.Fd; 03.65.Ge (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108012923

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