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Comment on “Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term” [J. Math. Phys. 51, 023525 (2010)]

### Abstract

It is shown that the application of the Nikiforov-Uvarov method by Ikhdair for solving the Dirac equation with the radial Rosen-Morse potential plus the spin-orbit centrifugal term is inadequate because the required conditions are not satisfied. The energy spectra given is incorrect and the wave functions are not physically acceptable. We clarify the problem and prove that the spinor wave functions are expressed in terms of the generalized hypergeometric functions 2F1(a, b, c; z). The energy eigenvalues for the bound states are given by the solution of a transcendental equation involving the hypergeometric function.

© 2016 AIP Publishing LLC

Received 28 October 2015
Accepted 24 January 2016
Published online 09 February 2016

/content/aip/journal/jmp/57/2/10.1063/1.4941381

2.

2.A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics (Birkhäuser, Bassel, 1988).

3.

3.I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press, New York, 1965).

http://aip.metastore.ingenta.com/content/aip/journal/jmp/57/2/10.1063/1.4941381

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2016-02-09

2016-10-21

### Abstract

It is shown that the application of the Nikiforov-Uvarov method by Ikhdair for solving the Dirac equation with the radial Rosen-Morse potential plus the spin-orbit centrifugal term is inadequate because the required conditions are not satisfied. The energy spectra given is incorrect and the wave functions are not physically acceptable. We clarify the problem and prove that the spinor wave functions are expressed in terms of the generalized hypergeometric functions 2F1(a, b, c; z). The energy eigenvalues for the bound states are given by the solution of a transcendental equation involving the hypergeometric function.

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