Approximately analytical solutions of the Manning-Rosen potential with the spin-orbit coupling term and spin symmetry |
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Authors: | Gao-Feng Wei |
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Affiliation: | a Department of Physics, Xi'an University of Arts and Science, Xi'an 710065, People's Republic of China b Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D.F. 07738, Mexico |
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Abstract: | In this Letter the approximately analytical bound state solutions of the Dirac equation with the Manning-Rosen potential for arbitrary spin-orbit coupling quantum number k are carried out by taking a properly approximate expansion for the spin-orbit coupling term. In the case of exact spin symmetry, the associated two-component spinor wave functions of the Dirac equation for arbitrary spin-orbit quantum number k are presented and the corresponding bound state energy equation is derived. We study briefly two special cases; the general s-wave problem and the equal scalar and vector Manning-Rosen potential. |
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Keywords: | 03.65.Ge 34.20.Cf |
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