## Proceedings of the International Conference on Geometry, Integrability and Quantization

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

#### 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.

#### Article information

Dates
First available in Project Euclid: 13 July 2015

https://projecteuclid.org/ euclid.pgiq/1436815707

Digital Object Identifier
doi:10.7546/giq-15-2014-140-151

Mathematical Reviews number (MathSciNet)
MR3287754

Zentralblatt MATH identifier
1315.35181

#### Citation

Hatami, Neda; Ahmadi, Somaye; Setare, Mohammad R. Solution of the Dirac Equation for the Q-Deformed Manning-Rosen Potential. Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, 140--151, Avangard Prima, Sofia, Bulgaria, 2014. doi:10.7546/giq-15-2014-140-151. https://projecteuclid.org/euclid.pgiq/1436815707