Approximate analytical solutions of the effective mass Dirac equation for the generalized Hulthén potential with any κ-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, Scopus) 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: Dirac equation, Generalized Hulthén potential, Nikiforov-Uvarov method, Position-dependent mass
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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. © 2009 Versita Warsaw and Springer-Verlag Berlin Heidelberg.