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Relativistic symmetries of Dirac equation and the Tietz potential

  • H. Hassanabadi
  • E. Maghsoodi
  • S. Zarrinkamar
Regular Article
First Online:
Received:
Accepted:

Abstract

Relativistic symmetries of the Dirac equation, namely the spin and pseudospin symmetries, are investigated under the Tietz potential for the scalar and vector interactions beside a Coulomb tensor term. The analytical approach of supersymmetry quantum mechanics is applied to the problem and the problem is discussed in a quite detailed manner.

Keywords

Dirac Equation Degenerate State Relativistic Symmetry Symmetry Limit Pseudospin Symmetry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. 1.
    F. Cooper et al., Phys. Rep. 251, 267 (1995).MathSciNetADSCrossRefGoogle Scholar
  2. 2.
    G. Junker, Supersymmetric Methods in Quantum and Statistical Physics (Springer Verlag, Berlin, 1996).Google Scholar
  3. 3.
    B. Bagchi, Supersymmetry in quantum and classical mechanics (Chapman and Hall/CRC, 2000).Google Scholar
  4. 4.
    A. Lahiri, P.K. Roy, B. Bagchi, J. Phys. A: Math. Gen. 20, 5403 (1987).MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    A. Lahiri, P.K. Roy, B. Bagchi, J. Phys. A: Math. Gen. 20, 3825 (1987).MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    V.A. Kostelecky, M.M. Nieto, Phys. Rev. A 32, 1293 (1985).MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    R.W. Haymaker, A.R.P. Rau, Am. J. Phys. 54, 928 (1986).ADSCrossRefGoogle Scholar
  8. 8.
    V.A. Kostelecky, M.M. Nieto, Phys. Rev. Lett. 53, 2285 (1984).ADSCrossRefGoogle Scholar
  9. 9.
    V.A. Kostelecky, M.M. Nieto, Phys. Rev. D 32, 2627 (1985).MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    A. Okninski, Int. J. Theor. Phys. 50, 729 (2011).MathSciNetCrossRefMATHGoogle Scholar
  11. 11.
    S. Zarrinkamar, A.A. Rajabi, H. Hassanabadi, Ann. Phys. 325, 2522 (2010).MathSciNetADSCrossRefMATHGoogle Scholar
  12. 12.
    M. Zonjil, Phys. Lett. A 259, 220 (1999).MathSciNetADSCrossRefGoogle Scholar
  13. 13.
    B. Bagchi, A. Banerjee, C. Quesne, V.M. Tkachuk, J. Phys. A: Math. Gen. 38, 2929 (2005).MathSciNetADSCrossRefMATHGoogle Scholar
  14. 14.
    C. Quesne, Ann. Phys. 321, 1221 (2006).MathSciNetADSCrossRefMATHGoogle Scholar
  15. 15.
    A.D. Alhaidari, Phys. Rev. A 66, 042116 (2002).ADSCrossRefGoogle Scholar
  16. 16.
    H. Hassanabadi, S. Zarrinkamar, H. Rahimov, Commun. Theor. Phys. 56, 423 (2011).ADSCrossRefMATHGoogle Scholar
  17. 17.
    J.N. Ginocchio, Phys. Rep. 414, 165 (2005).MathSciNetADSCrossRefGoogle Scholar
  18. 18.
    J.N. Ginocchio, A. Leviatan, Phys. Lett. B 425, 1 (1998).ADSCrossRefGoogle Scholar
  19. 19.
    T. Tietz, J. Chem. Phys. 35, 1917 (1961).ADSCrossRefGoogle Scholar
  20. 20.
    C. Berkdemir, Nucl. Phys. A 770, 32 (2006).ADSCrossRefGoogle Scholar
  21. 21.
    J.Y. Guo et al., Int. J. Mod. Phys. A 22, 4825 (2007).ADSCrossRefMATHGoogle Scholar
  22. 22.
    W.C. Qiang et al., J. Phys. A: Math. Theor. 40, 1677 (2007).MathSciNetADSCrossRefMATHGoogle Scholar
  23. 23.
    Q. Xu, S.J. Zhu, Nucl. Phys. A 768, 161 (2006).ADSCrossRefGoogle Scholar
  24. 24.
    H. Ackay, Phys. Lett. A 373, 616 (2009).MathSciNetADSCrossRefGoogle Scholar
  25. 25.
    H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, Modern Phys. Lett. A 26, 2703 (2011).MathSciNetADSCrossRefMATHGoogle Scholar
  26. 26.
    H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, J. Math. Phys. 53, 022104 (2012).MathSciNetADSCrossRefGoogle Scholar
  27. 27.
    O. Aydoğdu, R. Sever, Phys. Lett. B 703, 379 (2011).MathSciNetADSCrossRefGoogle Scholar
  28. 28.
    W.C. Qiang, S.H. Dong, Phys. Lett. A. 368, 13 (2007).MathSciNetADSCrossRefMATHGoogle Scholar
  29. 29.
    C.S. Jia et al., Few-Body Syst. 52, 11 (2012).ADSCrossRefGoogle Scholar
  30. 30.
    L.E. Gendenshtein, Sov. Phys. JETP Lett. 38, 356 (1983).ADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer 2012

Authors and Affiliations

  1. 1.Physics DepartmentShahrood University of TechnologyShahroodIran
  2. 2.Young Researchers Club, Garmsar BranchIslamic Azad UniversityGarmsarIran

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