Published 2020
| Version v1
Journal article
Quasi-exact and asymptotic iterative solutions of Dirac equation in the presence of some scalar potentials
Creators
- 1. Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz (Iran, Islamic Republic of)
- 2. Physics Department, Faculty of Sciences, Farhangian University, Tehran (Iran, Islamic Republic of)
Description
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)
Additional details
Identifiers
Publishing Information
- Journal Title
- Pramana
- Journal Volume
- 94
- Journal Issue
- 1
- Series
- Article ID 0151
- Journal Page Range
- [7 p.]
- CODEN
- PRAMCI
INIS
- Country of Publication
- India
- Country of Input or Organization
- India
- INIS RN
- 51122101
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIRAC EQUATION; EIGENFUNCTIONS; EIGENVALUES; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SPECIAL RELATIVITY THEORY; WAVE FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; RELATIVITY THEORY; WAVE EQUATIONS