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Approximate Solutions of the Dirac Equation for the Manning-Rosen Potential Including the Spin-Orbit Coupling Term

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Abstract

The bound-state solutions of the Dirac equation for the Manning-Rosen potential are presented approximately for arbitrary spin-orbit quantum number κ. The energy eigenvalues and corresponding two-component spinors of the two Dirac particles are obtained in the closed form by using the framework of the spin symmetry and pseudospin symmetry concept. Two special cases κ=±1 and the Hulthén potential are briefly investigated.

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Authors and Affiliations

  1. Department of Physics, Erciyes University, 38039, Kayseri, Turkey

    F. Taşkın

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  1. F. Taşkın
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Taşkın, F. Approximate Solutions of the Dirac Equation for the Manning-Rosen Potential Including the Spin-Orbit Coupling Term. Int J Theor Phys 48, 1142–1149 (2009). https://doi.org/10.1007/s10773-008-9887-7

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  • DOI: https://doi.org/10.1007/s10773-008-9887-7

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