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

Sameer M. Ikhdair () and Ramazan Sever ()
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Sameer M. Ikhdair: Department of Physics, Near East University, Nicosia, TRNC, 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 02, 221-235

Abstract: We present analytically the exact energy bound-states solutions of the Schrödinger equation inDdimensions 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.

Keywords: Energy eigenvalues and eigenfunctions; modified Kratzer 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/S0129183108012030

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