• Quasi-exact and asymptotic iterative solutions of Dirac equation in the presence of some scalar potentials

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/094/0151

• # Keywords

Dirac equation; quasi-exact solvability; supersymmetric quantum mechanics; asymptotic iteration method.

• # Abstract

In this paper, the Dirac equation in the presence of some scalar potentials based on $sl$(2) Lie algebra is solved by quasi-exact solvability theory. The configuration of the classes III and VI potentials in the Turbiner’s classification is constructed. Then, the Bethe ansatz equations are calculated so that the energy eigenvalues and eigenfunctions are obtained. Also, we study the problem by using asymptotic iteration method. Finally, we compare the results obtained by these two methods.

• # Author Affiliations

1. Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran
2. Physics Department, Faculty of Sciences, Farhangian University, Tehran, Iran

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019