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, cilt.8, sa.5, ss.843-849, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.2478/s11534-009-0163-0
  • Dergi Adı: CENTRAL EUROPEAN JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.843-849
  • Anahtar Kelimeler: generalized Hulthen potential, Dirac equation, position-dependent mass, Nikiforov-Uvarov method, POSITION-DEPENDENT MASS, 1ST-ORDER INTERTWINING-OPERATORS, PSEUDOSPIN SYMMETRY, SPIN, SYSTEMS, COULOMB
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.