Dirac Equation and Some Quasi-Exact Solvable Potentials in the Turbiner’s Classification |
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| Authors: | S Aghaei A Chenaghlou |
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| Institution: | Department of Physics, Faculty of Sciences, Sahand University of Technology, P.O. Box 51335-1996, Tabriz, Iran |
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| Abstract: | In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on sl(2) Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner's classification such that the Dirac equation with scalar potential is quasi-exactly solved and the Bethe ansatz equations are derived in order to obtain the energy eigenvalues and eigenfunctions. |
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| Keywords: | Dirac equation quasi-exact solvability supersymmetric quantum mechanics |
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