中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30302-030302.doi: 10.1088/1674-1056/22/3/030302

• GENERAL • 上一篇    下一篇

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

E. Maghsoodia, H. Hassanabadia, S. Zarrinkamarb   

  1. a Physics Department, Shahrood University of Technology, Shahrood, Iran;
    b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
  • 收稿日期:2012-08-04 修回日期:2012-08-16 出版日期:2013-02-01 发布日期:2013-02-01

Exact solutions of Dirac equation with Pöschl–Teller double-ring-shaped Coulomb potential via Nikiforov–Uvarov method

E. Maghsoodia, H. Hassanabadia, S. Zarrinkamarb   

  1. a Physics Department, Shahrood University of Technology, Shahrood, Iran;
    b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
  • Received:2012-08-04 Revised:2012-08-16 Online:2013-02-01 Published:2013-02-01
  • Contact: E. Maghsoodi E-mail:e.maghsoodi184@gmail.com

摘要: Exact analytical solutions of the Dirac equation are reported for the Pöschl-Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved by using the Nikiforov-Uvarov method, and exact bound state energy eigenvalues and the corresponding two-component spinor wavefunctions are reported.

关键词: Dirac equation, Pö, schl-Teller double-ring-shaped Coulomb potential, Nikiforov-Uvarov method

Abstract: Exact analytical solutions of the Dirac equation are reported for the Pöschl–Teller double-ring-shaped Coulomb potential. The radial, polar, and azimuthal parts of the Dirac equation are solved by using the Nikiforov–Uvarov method, and exact bound state energy eigenvalues and the corresponding two-component spinor wavefunctions are reported.

Key words: Dirac equation, Pöschl–Teller double-ring-shaped Coulomb potential, Nikiforov–Uvarov method

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
02.30.Gp (Special functions) 03.65.Fd (Algebraic methods)