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

被引：0
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作者：
A Chenaghlou
S Aghaei
R Mokhtari
机构：
[1] Sahand University of Technology,Department of Physics, Faculty of Sciences
[2] Farhangian University,Physics Department, Faculty of Sciences
来源：
Pramana | 2020年 / 94卷
关键词：
Dirac equation; quasi-exact solvability; supersymmetric quantum mechanics; asymptotic iteration method; 03.65.–w; 03.65.Pm; 03.65.Fd; 02.20.–a;
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摘要：
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.
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