Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

doi:10.1088/1674-1056/22/3/030303

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (3): 30303-030303.doi: 10.1088/1674-1056/22/3/030303

Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

M. Eshghi^a, M. Hamzavi^b, S. M. Ikhdair^{c d}

a Physics Department, Imam Hossein Comprehensive University, Tehran, Iran;
b Department of Physics, Faculty of Sciences, Shahrood University, Shahrood, Iran;
c Department of Electrical and Electronic Engineering, Near East University, 922022, Nicosia, Northern Cyprus, Turkey;
d Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine

收稿日期:2012-08-15 修回日期:2012-09-22 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the Scientific and Technical Research Council of Turkey.

Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

M. Eshghi^a, M. Hamzavi^b, S. M. Ikhdair^{c d}

a Physics Department, Imam Hossein Comprehensive University, Tehran, Iran;
b Department of Physics, Faculty of Sciences, Shahrood University, Shahrood, Iran;
c Department of Electrical and Electronic Engineering, Near East University, 922022, Nicosia, Northern Cyprus, Turkey;
d Department of Physics, Faculty of Science, An-Najah National University, Nablus, West Bank, Palestine

Received:2012-08-15 Revised:2012-09-22 Online:2013-02-01 Published:2013-02-01
Contact: M. Eshghia E-mail:eshgi54@gmail.com
Supported by:
Project supported by the Scientific and Technical Research Council of Turkey.

摘要/Abstract

摘要： The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction under the spin and pseudospin symmetric limit. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit in the absence of tensor interaction.

关键词: Dirac equation, spin and pseudospin symmetries, spatially-dependent mass, tensor interaction

Abstract: The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials including a tensor interaction under the spin and pseudospin symmetric limit. Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ. Some numerical results are given too. The effect of the tensor interaction on the bound states is presented. It is shown that the tensor interaction removes the degeneracy between two states in the spin doublets. We also investigate the effects of the spatially-dependent mass on the bound states under the conditions of the spin symmetric limit in the absence of tensor interaction.

Key words: Dirac equation, spin and pseudospin symmetries, spatially-dependent mass, tensor interaction

中图分类号: (Relativistic wave equations)

03.65.Pm

03.65.Ge (Solutions of wave equations: bound states) 02.30.Gp (Special functions)

M. Eshghi, M. Hamzavi, S. M. Ikhdair. Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction[J]. Chin. Phys. B, 2013, 22(3): 30303-030303.

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Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

Relativistic symmetry of position-dependent mass particle in Coulomb field including tensor interaction

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