Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit
ANNALS OF PHYSICS, cilt.325, sa.2, ss.373-383, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 325 Sayı: 2
- Basım Tarihi: 2010
- Doi Numarası: 10.1016/j.aop.2009.10.009
- Dergi Adı: ANNALS OF PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.373-383
- Anahtar Kelimeler: Mie-type potential, Dirac equation, Pseudospin symmetry, Spin symmetry, STATES, MOLECULES, SPECTRUM, ENERGY
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
We investigate the exact solution of the Dirac equation for the Mie-type potentials under the conditions of pseudospin and spin symmetry limits. The bound state energy equations and the corresponding two-component spinor wave functions of the Dirac particles for the Mie-type potentials with pseudospin and spin symmetry are obtained. We use the asymptotic iteration method in the calculations. Closed forms of the energy eigenvalues are obtained for any spin-orbit coupling term K. We also investigate the energy eigenvalues of the Dirac particles for the well-known Kratzer-Fues and modified Kratzer potentials which are Mie-type potentials. (C) 2009 Elsevier Inc. All rights reserved.