Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential, Wei-Hua Potential, Varshni Potential
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, vol.69, pp.163-172, 2014 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: No
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).