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

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Journal Title, Volume, Page: 
Ann. Phys. (Berlin) 17, No. 11, 897 – 910
Year of Publication: 
Sameer M. Ikhdair
Department of Physics, Near East University, Nicosia, Cyprus, Mersin 10, Turkey
Current Affiliation: 
Physics Department, Faculty of Science, An-Najah National University, Nablus, Palestine
Ramazan Sever
Department of Physics, Middle East Technical University, 06531 Ankara, Turkey
Preferred Abstract (Original): 

The Schrödinger 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 NikiforovUvarov (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 l with three different values of the potential parameter α. 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 Hulthén potential case.