Relativistic symmetries in Rosen—Morse potential and tensor interaction using the Nikiforov–Uvarov method

doi:10.1088/1674-1056/22/4/040302

中国物理B ›› 2013, Vol. 22 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/22/4/040302

Relativistic symmetries in Rosen—Morse potential and tensor interaction using the Nikiforov–Uvarov method

Sameer M Ikhdair^{a b}, Majid Hamzavi^c

a Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, Northern Cyprus, Mersin 10, Turkey;
b Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
c Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

收稿日期:2012-05-02 修回日期:2012-10-28 出版日期:2013-03-01 发布日期:2013-03-01
基金资助:
Project partially supported by the Scientific and Technological Research Council of Turkey (Grant No. TÜBÍTAK).

Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method

Sameer M Ikhdair^{a b}, Majid Hamzavi^c

a Department of Electrical and Electronic Engineering, Near East University, 922022 Nicosia, Northern Cyprus, Mersin 10, Turkey;
b Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine;
c Department of Science and Engineering, Abhar Branch, Islamic Azad University, Abhar, Iran

Received:2012-05-02 Revised:2012-10-28 Online:2013-03-01 Published:2013-03-01
Contact: Majid Hamzavi E-mail:majid.hamzavi@gmail.com
Supported by:
Project partially supported by the Scientific and Technological Research Council of Turkey (Grant No. TÜBÍTAK).

摘要/Abstract

摘要： Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen-Morse (RM) potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number κ. The Pekeris approximation is used to deal with the spin-orbit coupling terms κ (κ ± 1)r^-2. In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov-Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

关键词: Dirac equation, RM potential, CLT potential, spin and p-spin symmetries, NU method, approximation schemes

Abstract: Approximate analytical bound-state solutions of the Dirac particle in the fields of attractive and repulsive Rosen-Morse (RM) potentials including Coulomb-like tensor (CLT) potential are obtained for arbitrary spin-orbit quantum number κ. The Pekeris approximation is used to deal with the spin-orbit coupling terms κ (κ ± 1)r^-2. In the presence of exact spin and pseudospin (p-spin) symmetries, the energy eigenvalues and the corresponding normalized two-component wave functions are found by using the parametric generalization of the Nikiforov–Uvarov (NU) method. The numerical results show that the CLT interaction removes degeneracies between spin and p-spin state doublets.

Key words: Dirac equation, RM potential, CLT potential, spin and p-spin symmetries, NU method, approximation schemes

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

03.65.Ge

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

Sameer M Ikhdair, Majid Hamzavi. Relativistic symmetries in Rosen—Morse potential and tensor interaction using the Nikiforov–Uvarov method[J]. 中国物理B, 2013, 22(4): 40302-040302.

Sameer M Ikhdair, Majid Hamzavi. Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method[J]. Chin. Phys. B, 2013, 22(4): 40302-040302.

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Relativistic symmetries in Rosen—Morse potential and tensor interaction using the Nikiforov–Uvarov method

Relativistic symmetries in Rosen–Morse potential and tensor interaction using the Nikiforov–Uvarov method

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