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arXiv · 0801.4271

Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method

Sameer M. Ikhdair·Ramazan Sever
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Abstract

The Schrodinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The Nikiforov-Uvarov (${\rm NU}$) method is used in the calculations. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers $n$ and $l$ with two different values of the potential parameter $α.$ It is shown that the results are in good agreement with the those obtained by other methods for short potential range, small $l$ and $α.$ This solution reduces to two cases $l=0$ and Hulthen potential case.

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Sameer M. Ikhdair, Ramazan Sever. 2008-01-28. Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method. https://arxiv.org/abs/0801.4271

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