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Exact solutions of the pseudo-Coulomb potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method

Sameer M. Ikhdair·Ramazan Sever
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Abstract

We present analytically the exact energy bound-states solutions of the Schrodinger equation in D-dimensions for an alternative (often used) pseudo-Coulomb potential-plus- ring-shaped potential of the form $V(r)=-% \frac{a}{r}+\frac{b}{r^{2}}+\frac{β\cos ^{2}θ}{r^{2}\sin ^{2}θ}+c$ by means of the conventional Nikiforov-Uvarov method. We give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudo-Coulomb potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the standard forms given in literature.

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Sameer M. Ikhdair, Ramazan Sever. 2007-03-06. Exact solutions of the pseudo-Coulomb potential plus ring-shaped potential in the D-dimensional Schrodinger equation by the Nikiforov-Uvarov method. https://arxiv.org/abs/quant-ph/0703042

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