Approximate analytical solutions of the pseudospin symmetric Dirac equation for exponential-type potentials


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Arda A., Sever R., TEZCAN C.

ANNALEN DER PHYSIK, cilt.18, ss.736-746, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 18
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1002/andp.200810368
  • Dergi Adı: ANNALEN DER PHYSIK
  • Sayfa Sayıları: ss.736-746

Özet

The solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov-Uvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and q-deformed Rosen-Morse potentials are obtained within the framework of an approximation to the spin-orbit coupling term, so the solutions are given for any value of the spin-orbit quantum number kappa = 0, or kappa not equal 0. (C) 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim