Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulth,n potential with any kappa-value

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Arda A., Sever R., Tezcan C.

CENTRAL EUROPEAN JOURNAL OF PHYSICS, vol.8, no.5, pp.843-849, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2010
  • Doi Number: 10.2478/s11534-009-0163-0
  • Journal Name: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.843-849
  • Keywords: generalized Hulthen potential, Dirac equation, position-dependent mass, Nikiforov-Uvarov method, POSITION-DEPENDENT MASS, 1ST-ORDER INTERTWINING-OPERATORS, PSEUDOSPIN SYMMETRY, SPIN, SYSTEMS, COULOMB
  • Hacettepe University Affiliated: Yes

Abstract

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.