Skip to main content
SpringerLink
Log in

Exact solution Dirac equation for an energy-dependent potential

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

We study Dirac equation for an energy-dependent potential in the presence of spin and pseudospin symmetries with arbitrary spin-orbit quantum number \( \kappa\) . We calculate the corresponding eigenfunctions and eigenvalues of this system by comparing with analytically solvable energy-dependent potentials. Some numerical results are given in the presence and absence of tensor interaction.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Lisboa, M. Malheiro, A.S. de Castro, P. Alberto, M. Fiolhais, Phys. Rev. C 69, 0243319 (2004)

    Article  Google Scholar 

  2. P. Alberto, R. Lisboa, M. Malheiro, A.S. de Castro, Phys. Rev. C 71, 034313 (2005)

    Article  ADS  Google Scholar 

  3. M. Hamzavi, A.A. Rajabi, H. Hassanabadi, Phys. Lett A 374, 4303 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. H. Akcay, Phys. Lett. A 373, 616 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. O. Aydogdu, R. Sever, Few-Body Syst. 47, 193 (2010)

    Article  ADS  Google Scholar 

  6. W. Pauli, Z. Phys. 43, 601 (1927)

    Article  ADS  MATH  Google Scholar 

  7. H. Bethe, E. Salpeter, Phys. Rev. 84, 1232 (1951)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. A.P. Martynenko, Phys. Lett. B 663, 317 (2008)

    Article  ADS  Google Scholar 

  9. V.A. Rizov, H. Sazdjian, I.T. Todorov, Ann. Phys. (N.Y.) 165, 59 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  10. H. Hassanabadi, A.A. Rajabi, Few-Body Syst. 41, 1 (2007)

    Article  Google Scholar 

  11. I.T. Todorov, Phys. Rev. D 3, 2351 (1971)

    Article  ADS  Google Scholar 

  12. G.P. Lepage, Phys. Rev. A 16, 863 (1977)

    Article  ADS  Google Scholar 

  13. R.J. Lombard, J. Mares, C. Volpe, J. Phys. G: Nucl. Part. Phys. 34, 1879 (2007)

    Article  ADS  Google Scholar 

  14. J. Garcia-Martinez, J. Garcia-Ravelo, J.J. Pena, A. Schulze-Halberg, Phys. Lett. A 1, 5 (2009)

    MathSciNet  Google Scholar 

  15. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhausr, Berlin, 1988)

  16. B. Champion, R.L. Hall, N. Saad, Int. J. Mod. Phys. A 23, 1405 (2008)

    Article  ADS  MATH  Google Scholar 

  17. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A: Math. Gen. 36, 11807 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. F.M. Fernandez, J. Phys. A: Math. Gen. 37, 6173 (2004)

    Article  ADS  MATH  Google Scholar 

  19. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A: Math. Gen. 38, 1147 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. H. Ciftci, R.L. Hall, N. Saad, Phys. Lett. A 340, 388 (2005)

    Article  ADS  MATH  Google Scholar 

  21. J. Formanek, J. Mareš, R.J. Lombard, Czech J. Phys. 54, 289 (2004)

    Article  ADS  Google Scholar 

  22. R.J. Lombard, J. Mareš, C. Volpe, J. Phys. G: Nucl. Part. Phys. 34, 1 (2007)

    Article  Google Scholar 

  23. R. Yekken, R.J. Lombard, J. Phys. A: Math. Theor. 43, 125301 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  24. H. Hassanabadi, S. Zarrinkamar, A.A. Rajabi, Commun. Theor. Phys. 55, 541 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. H. Hassanabadi, S. Zarrinkamar, H. Hamzavi, A.A. Rajabi, Arab. J. Sci. Eng. 37, 209 (2012)

    Article  MathSciNet  Google Scholar 

  26. J.N. Ginocchio, Phys. Rep. 414, 165 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  27. J.N. Ginocchio, A. Leviatan, Phys. Lett. B 425, 1 (1998)

    Article  ADS  Google Scholar 

  28. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, J. Math. Phys. 53, 022104 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  29. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, Mod. Phys. Lett. A 26, 2703 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, Eur. Phys. J. Plus 127, 31 (2012)

    Article  Google Scholar 

  31. E. Maghsoodi, H. Hassanabadi, S. Zarrinkamar, Few-Body Syst. (2012) DOI:10.1007/s00601-012-0314-5

  32. E. Maghsoodi, H. Hassanabadi, S. Zarrinkamar, H. Rahimov, Phys. Scr. 85, 055007 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    H. Hassanabadi, E. Maghsoodi & R. Oudi

  2. Young Researchers Club, Garmsar Branch, Islamic Azad University, Garmsar, Iran

    S. Zarrinkamar

  3. Computer Engineering Department, Shahrood University of Technology, P. O. Box: 3619995161-316, Shahrood, Iran

    H. Rahimov

Authors
  1. H. Hassanabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Maghsoodi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Oudi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Zarrinkamar
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. H. Rahimov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Maghsoodi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hassanabadi, H., Maghsoodi, E., Oudi, R. et al. Exact solution Dirac equation for an energy-dependent potential. Eur. Phys. J. Plus 127, 120 (2012). https://doi.org/10.1140/epjp/i2012-12120-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2012-12120-1

Keywords

Search

Navigation