Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential |
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Authors: | Sameer M. Ikhdair |
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Affiliation: | a Department of Physics, Near East University, Nicosia, North Cyprus, Turkey b Department of Physics, Middle East Technical University, 06531 Ankara, Turkey |
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Abstract: | We study the effect of spatially-dependent mass function over the solution of the Dirac equation with the Coulomb potential in the (3+1)-dimensions for any arbitrary spin-orbit κ state. In the framework of the spin and pseudospin symmetry concept, the analytic bound state energy eigenvalues and the corresponding upper and lower two-component spinors of the two Dirac particles are obtained by means of the Nikiforov-Uvarov method, in closed form. This physical choice of the mass function leads to an exact analytical solution for the pseudospin part of the Dirac equation. The special cases , the constant mass and the non-relativistic limits are briefly investigated. |
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Keywords: | Dirac equation Spin symmetry Pseudospin symmetry Bound states Coulomb potential Spatially-dependent mass Nikiforov-Uvarov method |
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