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)]

Journal Article · Mon Feb 15 04:00:00 EST 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4941381· OSTI ID:22479641

Ghoumaid, A.; Benamira, F.; Guechi, L. ^[1]

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1. Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences Exactes, Université des Frères Mentouri, Constantine, Route d’Ain El Bey, Constantine (Algeria)

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 {sub 2}F{sub 1}(a, b, c; z). The energy eigenvalues for the bound states are given by the solution of a transcendental equation involving the hypergeometric function.

• OSTI ID: 22479641
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 57; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOUND STATE
DIRAC EQUATION
EIGENVALUES
ENERGY SPECTRA
HYPERGEOMETRIC FUNCTIONS
MATHEMATICAL SOLUTIONS
MORSE POTENTIAL
ORBITS
SPIN
WAVE FUNCTIONS