Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential

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Arda A., Sever R.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, vol.69, pp.163-172, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 69
  • Publication Date: 2014
  • Doi Number: 10.5560/zna.2014-0007
  • Journal Name: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.163-172
  • Keywords: Hellmann Potential, Wei-Hua Potential, Varshni Potential, Dirac Equation, Nikiforov-Uvarov Method, Spin Symmetry, Pseudospin Symmetry, ROTATION-VIBRATION SPECTRUM, ANALYTICAL APPROXIMATIONS, SCHRODINGER-EQUATION, DIATOMIC-MOLECULES, CENTRIFUGAL, OSCILLATOR, SCHEME, TERM
  • Hacettepe University Affiliated: Yes

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).