Solution of the Dirac equation for pseudoharmonic potential by using the Nikiforov-Uvarov method

Aydogdu O., Sever R.

PHYSICA SCRIPTA, vol.80, no.1, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 1
  • Publication Date: 2009
  • Doi Number: 10.1088/0031-8949/80/01/015001
  • Journal Name: PHYSICA SCRIPTA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: Yes

Abstract

We investigate the energy spectra and corresponding wave functions of the Dirac equation for pseudoharmonic potential with spin and pseudospin symmetry. To obtain an analytical solution of the Dirac equation, we consider the Nikiforov-Uvarov method in the calculations. For any spin-orbit coupling term kappa, we find the closed forms of the energy eigenvalues and also obtain the radial wave functions in the spin and pseudospin symmetry limits.