Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method

doi:10.1088/1674-1056/21/12/120302

中国物理B ›› 2012, Vol. 21 ›› Issue (12): 120302-120302.doi: 10.1088/1674-1056/21/12/120302

Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method

H. Hassanabadi^a, E. Maghsoodi^a, S. Zarrinkamar^b, H. Rahimov^c

a Physics Department, Shahrood University of Technology, Shahrood, Iran;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran;
c Computer Engineering Department, Shahrood University of Technology, Shahrood, Iran

收稿日期:2012-02-15 修回日期:2012-07-26 出版日期:2012-11-01 发布日期:2012-11-01

Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method

H. Hassanabadi^a, E. Maghsoodi^a, S. Zarrinkamar^b, H. Rahimov^c

a Physics Department, Shahrood University of Technology, Shahrood, Iran;
b Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran;
c Computer Engineering Department, Shahrood University of Technology, Shahrood, Iran

Received:2012-02-15 Revised:2012-07-26 Online:2012-11-01 Published:2012-11-01
Contact: H. Hassanabadi E-mail:h.hasanabadi@shahroodut.ac.ir

摘要/Abstract

摘要： We inquire into spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation and the Nikiforov-Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for arbitrary quantum number in a compact form and useful numerical data are included.

关键词: Dirac equation, spin symmetry, pseudospin symmetry, modified Hylleraas potential

Abstract: We inquire into spin and pseudospin symmetries of Dirac equation under modified deformed Hylleraas potential via a Pekeris approximation and the Nikiforov-Uvarov technique. A tensor interaction of Coulomb form is considered and its degeneracy-removing role is discussed in detail. The solutions are reported for arbitrary quantum number in a compact form and useful numerical data are included.

Key words: Dirac equation, spin symmetry, pseudospin symmetry, modified Hylleraas potential

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

03.65.Ge

03.65.Pm (Relativistic wave equations) 02.30.Gp (Special functions)

H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov. Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method[J]. 中国物理B, 2012, 21(12): 120302-120302.

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Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method

Approximate any l-state solutions of Dirac equation for modified deformed Hylleraas potential by the Nikiforov–Uvarov method

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