Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

Details Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry

2010-08-13

arxiv.org/abs/1008.2358v1

Physics

Quantum Physics

18 pages

Scientific paper

10.1140/epja/i2010-11007-0

The energy spectra and the corresponding two- component spinor wavefunctions of the Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are obtained. The $s-$wave ($\kappa = 0$ state) solutions for this problem are obtained by using the basic concept of the supersymmetric quantum mechanics approach and function analysis (standard approach) in the calculations. Under the spin symmetry and pseudospin symmetry, the energy equation and the corresponding two-component spinor wavefunctions for this potential and other special types of this potential are obtained. Extension of this result to $\kappa \neq 0$ state is suggested.

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