EXACT SOLUTIONS OF THE MODIFIED KRATZER POTENTIAL PLUS RING-SHAPED POTENTIAL IN THE D-DIMENSIONAL SCHRÖDINGER EQUATION BY THE NIKIFOROV

EXACT SOLUTIONS OF THE MODIFIED KRATZER POTENTIAL PLUS RING-SHAPED POTENTIAL IN THE D-DIMENSIONAL SCHRÖDINGER EQUATION BY THE NIKIFOROV–UVAROV METHOD

Published:2008-02 Issue:02 Volume:19 Page:221-235
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

IKHDAIR SAMEER M.¹,SEVER RAMAZAN²

Affiliation:

1. Department of Physics, Near East University, Nicosia, TRNC, Mersin 10, Turkey

2. Department of Physics, Middle East Technical University, 06531 Ankara, Turkey

Abstract

We present analytically the exact energy bound-states solutions of the Schrödinger equation in D dimensions for a recently proposed modified Kratzer plus ring-shaped potential by means of the Nikiforov–Uvarov method. We obtain an explicit solution of the wave functions in terms of hyper-geometric functions (Laguerre polynomials). The results obtained in this work are more general and true for any dimension which can be reduced to the well-known three-dimensional forms given by other works.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183108012030

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