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, cilt.39, sa.43, ss.13455-13463, 2006 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 43
- Basım Tarihi: 2006
- Doi Numarası: 10.1088/0305-4470/39/43/005
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.13455-13463
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
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.