Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

doi:10.1088/1674-1056/22/12/120302

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (12): 120302-120302.doi: 10.1088/1674-1056/22/12/120302

Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

Akpan N. Ikot^a, Elham Maghsoodi^b, Eno J. Ibanga^a, Saber Zarrinkamar^c, Hassan Hassanabadi^b

a Theoretical Physics Group, Department of Physics, University of Uyo-Nigeria, Nigeria;
b Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran;
c Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

收稿日期:2013-04-21 修回日期:2013-05-13 出版日期:2013-10-25 发布日期:2013-10-25

Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

Akpan N. Ikot^a, Elham Maghsoodi^b, Eno J. Ibanga^a, Saber Zarrinkamar^c, Hassan Hassanabadi^b

a Theoretical Physics Group, Department of Physics, University of Uyo-Nigeria, Nigeria;
b Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran;
c Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Received:2013-04-21 Revised:2013-05-13 Online:2013-10-25 Published:2013-10-25
Contact: Hassan Hassanabadi E-mail:h.hasanabadi@shahroodut.ac.ir

摘要/Abstract

摘要： In this paper, we obtain approximate analytical solutions of the Dirac equation for the shifted Hulthén potential within the framework of spin and pseudospin symmetry limits for arbitrary spin–orbit quantum number κ using the supersymmetry quantum mechanics. The energy eigenvalues and the corresponding Dirac wave functions are obtained in closed forms.

关键词: Dirac equation, supersymmetry method, spin and pseudospin symmetries, shifted Hulthé, n potential

Abstract: In this paper, we obtain approximate analytical solutions of the Dirac equation for the shifted Hulthén potential within the framework of spin and pseudospin symmetry limits for arbitrary spin–orbit quantum number κ using the supersymmetry quantum mechanics. The energy eigenvalues and the corresponding Dirac wave functions are obtained in closed forms.

Key words: Dirac equation, supersymmetry method, spin and pseudospin symmetries, shifted Hulthén potential

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

03.65.Ge

03.65.Pm (Relativistic wave equations) 03.65.Ca (Formalism)

Akpan N. Ikot, Elham Maghsoodi, Eno J. Ibanga, Saber Zarrinkamar, Hassan Hassanabadi. Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics[J]. Chin. Phys. B, 2013, 22(12): 120302-120302.

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Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

Spin and pseudospin symmetries of the Dirac equation with shifted Hulthén potential using supersymmetric quantum mechanics

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