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


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BERKDEMIR C., Berkdemir A. , SEVER R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, ss.13455-13463, 2006 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 39 Konu: 43
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1088/0305-4470/39/43/005
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayısı: ss.13455-13463

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.