Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential

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2008-11-01

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IKHDAİR, SAMEER
Sever, Ramazan

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The Schrodinger equation in D-dimensions for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states eigensolutions (eigenvalues and eigenfunctions). The Nikiforov-Uvarov (NU) method is used in the calculations. We present numerical calculations of energy eigenvalues to two- and four-dimensional systems for arbitrary quantum numbers n and 1, with three different values of the potential parameter alpha. It is shown that because of the interdimensional degeneracy of eigenvalues, we can also reproduce eigenvalues of a upper/lower dimensional system from the well-known eigenvalues of a lower/upper dimensional system by means of the transformation (n, l, D) -> (n, l +/- 1, D +/- 2). This solution reduces to the Hulthen potential case.

Subject Keywords

General Physics and Astronomy

URI

https://hdl.handle.net/11511/62422

Journal

ANNALEN DER PHYSIK

DOI

https://doi.org/10.1002/andp.200810322

Collections

Department of Physics, Article

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Citation Formats

S. IKHDAİR and R. Sever, “Approximate l-state solutions of the D-dimensional Schrodinger equation for Manning-Rosen potential,” ANNALEN DER PHYSIK, pp. 897–910, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62422.