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Z. Naturforsch. 69a, 659 – 664
(2014)
doi:10.5560/ZNA.2014-0056
The Relativistic Screened Coulomb plus Ringed-Shaped-Like Potential via Shape-Invariance Approach
1 Department of Physics, University of Port Harcourt, Choba P.M.B 5323 Port Harcourt, Nigeria
2 Department of Physics, Shahrood University, Shahrood, Iran
Received May 20, 2014 / revised July 27, 2014 / published online October 8, 2014
Reprint requests to: A. N. I.; E-mail:
ndemikotphysics@gmail.com
The bound-state solutions of the Dirac equation for the screened Coulomb potential plus a ring-shaped-like potential are determined using supersymmetry quantum mechanics and invariance method for arbitrary angular momentum state J. In the calculations, a proper approximate scheme for the centrifugal term is proposed and the un-normalized eigenfunctions are obtained in terms of the hypergeometric functions.
Key words: Dirac Equation; Supersymmetric Quantum Mechanics; Screen Coulomb Potential.
PACS numbers: 03.65Ge; 03.65.-w