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Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
-
Altuğ Arda
and
Ramazan Sever
Published/Copyright:
June 2, 2014
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;κ).
Keywords : Hellmann Potential; Wei-Hua Potential; Varshni Potential; Dirac Equation; Nikiforov-Uvarov Method; Spin Symmetry; Pseudospin Symmetry.
Received: 2013-7-16
Revised: 2014-1-2
Published Online: 2014-6-2
Published in Print: 2014-4-1
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
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Keywords for this article
Hellmann Potential;
Wei-Hua Potential;
Varshni Potential;
Dirac Equation;
Nikiforov-Uvarov Method;
Spin Symmetry;
Pseudospin Symmetry.
Articles in the same Issue
- Laplace Transformation Approach to the Spin Symmetry of the Mie-Type Potential with a Coulomb Tensor Interaction
- Estimation of Reduced Partition Function Ratios of Lithium-Graphite Intercalation Compounds by Density Functional Theory
- Optimal Range of Parameters of Hopfield’s Neural Network for Shortest Path Computation in Routing
- On the Solution of the Nonlinear Fractional Diffusion-Wave Equation with Absorption: a Homotopy Approach
- The Ordered Network Structure of M≥8 Earthquakes and its Prediction for the Ordered Pair Great Earthquakes in Mainland China
- Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
- Pseudospin and Spin Symmetric Solutions of the Dirac Equation: Hellmann Potential,Wei–Hua Potential, Varshni Potential
- The ‘Missing Mass Problem’ in Astronomy and the Need for a Modified Law of Gravity
- Solving Steady Flow of a Third-Grade Fluid in a Porous Half Space via Normal and Modified Rational Christov Functions Collocation Method
