Published January 1, 2010 | Version v1
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Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulth,n potential with any kappa-value

  • 1. Hacettepe Univ, Dept Phys Educ, TR-06800 Ankara, Turkey
  • 2. Middle E Tech Univ, Dept Phys, TR-06800 Ankara, Turkey
  • 3. Baskent Univ, Fac Engn, TR-06490 Ankara, Turkey

Description

The Dirac equation, with position-dependent mass, is solved approximately for the generalized Hulth,n potential with any spin-orbit quantum number kappa. Solutions are obtained by using an appropriate coordinate transformation, reducing the effective mass Dirac equation to a Schrodinger-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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