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Exact Solutions of the D-dimensional Schrödinger Equation for a Ring–shaped Pseudoharmonic Potential

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Sun, 2013-09-15 13:03 — Sameer. Ikhdair
Journal Title, Volume, Page: 
Central European Journal of Physics September, Volume 6, Issue 3, pp 685-696
Year of Publication: 
2008
Link: 
http://link.springer.com/article/10.2478%2Fs11534-008-0024-2
Authors: 
Sameer M. Ikhdair
Department of Physics, Near East University, Nicosia, TRNC, Mersin-10, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
Ramazan Sever
Department of Physics, Middle East Technical University, 06531, Ankara, Turkey
Preferred Abstract (Original): 

A new non-central potential, consisting of a pseudoharmonic potential plus another recently proposed ring-shaped potential, is solved. It has the form . The energy eigenvalues and eigenfunctions of the bound-states for the Schrödinger equation in D-dimensions for this potential are obtained analytically by using the Nikiforov-Uvarov method. The radial and angular parts of the wave functions are obtained in terms of orthogonal Laguerre and Jacobi polynomials. We also find that the energy of the particle and the wave functions reduce to the energy and the wave functions of the bound-states in three dimensions.