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Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential

Cuneyt Berkdemir·Ayse Berkdemir·Ramazan Sever
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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.

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Cuneyt Berkdemir, Ayse Berkdemir, Ramazan Sever. 2006-03-09. Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential. https://doi.org/10.1088/0305-4470%2F39%2F43%2F005

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