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ISRN Mathematical Physics
Volume 2012 (2012), Article ID 201525, 20 pages
http://dx.doi.org/10.5402/2012/201525
Research Article

Approximate l-States of the Manning-Rosen Potential by Using Nikiforov-Uvarov Method

Department of Physics, Near East University, Nicosia, 922022 North Cyprus, Turkey

Received 13 October 2011; Accepted 16 November 2011

Academic Editors: J. Garecki and G. Ghirardi

Copyright © 2012 Sameer M. Ikhdair. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The approximately analytical bound state solutions of the l-wave Schrödinger equation for the Manning-Rosen (MR) potential are carried out by a proper approximation to the centrifugal term. The energy spectrum formula and normalized wave functions expressed in terms of the Jacobi polynomials are both obtained for the application of the Nikiforov-Uvarov (NU) method to the Manning-Rosen potential. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary principal and orbital quantum numbers n and l with two different values of the potential screening parameter α. It is found that our results are in good agreement with the those obtained by other methods for short potential range, lowest values of orbital quantum number l, and α. Two special cases of much interest are investigated like the s-wave case and Hulthén potential case.