Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods-Saxon potential

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2006-10-27
Berkdemir, Cueneyt
Berkdemir, Ayse
Sever, Ramazan
The exact solution of the Dirac equation for a deformed form of the Woods Saxon potential is obtained for the s-wave relativistic energy spectrum. The energy eigenvalues and two-component spinor wavefunctions are derived analytically by using a systematical method which is called Nikiforov - Uvarov. It is seen that the energy eigenvalues and the wavefunctions strongly depend on the parameters of the potential. In addition, it is also shown that the non-relativistic limit can be reached easily and directly for a special case of the standard Woods - Saxon potential.

Citation Formats
C. Berkdemir, A. Berkdemir, and R. Sever, “Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods-Saxon potential,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 39, no. 43, pp. 13455–13463, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62775.