Solution of the Dirac Equation for the Q-Deformed Manning-Rosen Potential

Hatami, Neda; Ahmadi, Somaye; Setare, Mohammad R.

doi:10.7546/giq-15-2014-140-151

VOL. 15 | 2014 Solution of the Dirac Equation for the Q-Deformed Manning-Rosen Potential

Chapter Author(s) Neda Hatami, Somaye Ahmadi, Mohammad R. Setare

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Geom. Integrability & Quantization, 2014: 140-151 (2014) DOI: 10.7546/giq-15-2014-140-151

Abstract

Approximate solution for the Dirac equation with the $q$-deformed Manning-Rosen potential, under the condition of spin and pseudospin symmetry are obtained. Also the energy spectrum and wave functions are obtained by the Nikiforov-Uvarov (NU) method. The special cases $q=1$, Hulthén potential $ (b\rightarrow0)$ and the nonrelativistic limit are studied for the $q$-deformed Manning-Rosen potential, and then results are compared with the other works.