Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential
arXiv:nucl-th/0501030 · doi:10.1088/0305-4470/39/43/005
Abstract
Exact solution of the Dirac equation for a special form of the Woods-Saxon potential is obtained for the s-states. The energy eigenvalues and two-component spinor wave functions are derived by using a systematical method which is called as Nikiforov-Uvarov. It is seen that the energy eigenvalues strongly depend on the potential parameters. In addition, it is also shown that the non-relativistic limit can be reached easily and directly.
10 pages, no figures, submitted for Publication