Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulthén potential with any κ-value

Altuğ Arda 1 , Ramazan Sever 2 ,  and Cevdet Tezcan 3
  • 1 Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey
  • 2 Department of Physics, Middle East Technical University, 06800, Ankara, Turkey
  • 3 Faculty of Engineering, Başkent University, Baglıca Campus, Ankara, Turkey

Abstract

The Dirac equation, with position-dependent mass, is solved approximately for the generalized Hulthén potential with any spin-orbit quantum number κ. Solutions are obtained by using an appropriate coordinate transformation, reducing the effective mass Dirac equation to a Schrödinger-like differential equation. The Nikiforov-Uvarov method is used in the calculations to obtain energy eigenvalues and the corresponding wave functions. Numerical results are compared with those given in the literature. Analytical results are also obtained for the case of constant mass and the results are in good agreement with the literature.

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