Pseudospin and spin symmetric solutions of the dirac equation: Hellmann potential, wei-hua potential, varshni potential

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Abstract

Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, the Wei-Hua potential, and the Varshni potential with any k-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs (n;k).

Original languageEnglish
Pages (from-to)163-172
Number of pages10
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume69
Issue number3-4
DOIs
Publication statusPublished - 2014

Keywords

  • Dirac equation
  • Hellmann potential
  • Nikiforov-uvarov method
  • Pseudospin symmetry
  • Spin symmetry
  • Varshni potential
  • Wei-hua potential

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