Solutions of Dirac Equation for Symmetric Generalized Woods-Saxon Potential by the Hypergeometric Method

Details Solutions of Dirac Equation for Symmetric Generalized Woods-Saxon Potential by the Hypergeometric Method Solutions of Dirac Equation for Symmetric Generalized Woods-Saxon Potential by the Hypergeometric Method

2008-08-07

arxiv.org/abs/0808.1002v1

Physics

Quantum Physics

26 pages

Scientific paper

The Dirac equation is solved approximately for the Hulthen potential with the pseudospin symmetry for any spin-orbit quantum number $\kappa$ in the position-dependent mass background. Solutions are obtained reducing the Dirac equation into a Schr\"{o}dinger-like differential equation by using an appropriate coordinate transformation. The Nikiforov-Uvarov method is used in the calculations to get energy eigenvalues and the corresponding wave functions.

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