Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term

Details Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term

2009-12-03

arxiv.org/abs/0912.0619v1

J. Math. Phys. 51 (2) (2010) 023525-1:023525-16

Physics

Quantum Physics

23 pages

Scientific paper

10.1063/1.3293759

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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