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


Berkdemır C., Berkdemir A., Sever R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.43, ss.13455-13463, 2006 (SCI-Expanded) identifier identifier

Özet

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.