https://doi.org/10.1140/epja/i2010-11007-0
Regular Article - Theoretical Physics
Bound-state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry⋆
1
Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin, Nigeria
2
International Chair of Mathematical Physics and Applications (ICMPA-UNESCO Chair) Université d’Abomey-Calavi, Cotonou, Republic of Benin
* e-mail: kjoyewumi66@unilorin.edu.ng
Received:
12
May
2010
Revised:
11
June
2010
Accepted:
18
June
2010
Published online:
23
July
2010
The energy spectra and the corresponding two-component spinor wave functions of the Dirac equation for the Rosen-Morse potential with spin and pseudospin symmetry are obtained. The s -wave ( = 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 wave functions for this potential and other special types of this potential are obtained. The extension of this result to the
0 state is suggested.
© SIF, Springer-Verlag Berlin Heidelberg, 2010