Approximate Solutions of The Dirac Equation for the Rosen–Morse Potential Including the Spin-Orbit Centrifugal Term

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Journal Title, Volume, Page: 
J. Math. Phys. 51 (2) , 023525-1:023525-16
Year of Publication: 
2010
Authors: 
Sameer M. Ikhdair
Department of Physics, Near East University, Nicosia, North Cyprus 922153, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Preferred Abstract (Original): 
We give the approximate analytic solutions of the Dirac equations for the Rosen-Morse potential including the spin-orbit centrifugal term. In the framework of the spin and pseudospin symmetry concept, we obtain the analytic bound state energy spectra and corresponding two-component upper- and lower-spinors of the two Dirac particles, in closed form, by means of the Nikiforov-Uvarov method. The special cases of the s-wave kappa=1,-1 (l=l bar=0) Rosen-Morse potential, the Eckart-type potential, the PT-symmetric Rosen-Morse potential and non-relativistic limits are briefly studied.
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