An approximate solution of Dirac-Hulthen problem with pseudospin and spin symmetry for any kappa state

Soylu A., Bayrak O., Boztosun I.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.48, sa.8, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 8
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1063/1.2768436
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz Üniversitesi Adresli: Hayır

Özet

For any spin-orbit quantum number kappa, the analytical solutions of the Dirac equation are presented for the Hulthen potential by applying an approximation to spin-orbit coupling potential for the case of spin symmetry, Delta(r)=C=const, and pseudospin symmetry Sigma(r)=C=const. The bound state energy eigenvalues and the corresponding spinors are obtained in the closed forms.