Skip to main content
Log in

Supersymmetry quantum mechanics to Dirac equation with a modified Yukawa potential and a Yukawa tensor term

  • Original paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

Relativistic symmetries of Dirac equation, i.e. spin and pseudospin symmetries are investigated for a modified Yukawa potential including a Yukawa tensor interaction. Using supersymmetry quantum mechanics and a proper approximation to the inverse square centrifugal term, arbitrary-state solutions are reported in an analytical approach. We have included some useful numerical data and illustrative figures to represent a better understanding of the solutions.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. A F Nikiforov and V B Uvarov Special Functions of Mathematical Physics (Basel: Birkhaauser) (1988)

    Book  MATH  Google Scholar 

  2. H Cifti, R L Hall and N Saad J. Phys. A 36 11807 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  3. G F Wei and S H Dong Europhys. Lett. 87 4004 (2009)

    Google Scholar 

  4. G F Wei and S H Dong Can. J. Phys. 89 1225 (2011)

    Article  ADS  Google Scholar 

  5. W C Qiang and S H Dong Phys. Scr. 72 127 (2005)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. H Hassanabadi, E Maghsoodi and S Zarrinkamar Euro.Phys.J.Plus 127 31 (2012)

    Article  Google Scholar 

  7. S H Dong Factorization Method in Quantum Mechanics (Dordreht: Springer) (2007)

    MATH  Google Scholar 

  8. A N Ikot, E Maghsoodi, S Zarrinkamar and H Hassanabadi Few-Body Syst. 54 2027 (2013)

    Article  ADS  Google Scholar 

  9. F Cooper, A Khare and U Sukhatme Phys. Rep. 251 267 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  10. G Junker Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer-Verlag) (1996)

  11. A N Ikot, O A Awoga, A D Antia, H Hassanabadi and E Maghsoodi Few-Body Syst. 54 2041 (2013)

    Article  ADS  Google Scholar 

  12. G F Wei and S H Dong Phys. Lett. A 373 49 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. G F Wei and S H Dong Phys. Lett. B 686 288 (2010)

    Article  ADS  Google Scholar 

  14. G F Wei and S H Dong Eur. Phys. J. A 46 207 (2010)

    Article  ADS  Google Scholar 

  15. H Hassanbadi and B H Yazarloo Indian J. Phys. 87 1017 (2013)

    Article  ADS  Google Scholar 

  16. H Hassanabadi, E Maghsoodi and S Zarrinkamar Commun. Theor. Phys. 58 807 (2012)

    Article  ADS  MATH  Google Scholar 

  17. A D Antia, A N Ikot, H Hassanabadi and E Maghsoodi Indian J. Phys. 87 1133 (2013)

    Google Scholar 

  18. G F Wei and S H Dong Phys. Lett. A 373 2428 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. A D Antia, A N Ikot, I O Akpan and O A Awoga Indian J. Phys. 87 155 (2013)

    Article  ADS  Google Scholar 

  20. G F Wei and S H Dong Eur. Phys. J. A 43 185 (2010)

    Article  ADS  Google Scholar 

  21. G F Wei and S H Dong Phys. Scr. 81 035009 (2010)

    Article  ADS  Google Scholar 

  22. A N Ikot, B H Yazarloo, A D Antia and H Hassanabadi Indian J. Phys. 87 913 (2013)

    Article  ADS  Google Scholar 

  23. J N Ginocchio Phys. Rev. C 69 034318 (2004)

  24. J N Ginocchio Phys. Rev. Lett. 78 436 (1997)

  25. P R Page, T Goldman and J N Ginocchio Phys. Rev. Lett. 66 204 (2001)

    Article  ADS  Google Scholar 

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

  27. E Maghsoodi, H Hassanabadi and O Aydogdu Phys. Scr. 86 015005 (2012)

    Article  ADS  Google Scholar 

  28. O Aydogdu, E Maghsoodi and H Hassanabadi Chin. Phys. B 22 010302 (2013)

    Article  Google Scholar 

  29. S M. Ikhdair and M Hamzavi Few-Body Syst. 53 487 (2012)

  30. M Hamzavi, S M Ikhdair and B I Ita Phys. Scr. 85 045009 (2012)

    Article  ADS  Google Scholar 

  31. H Taseli Int. J. Quant. Chem. 63 949 (1997)

    Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  33. H Yukawa Math. Soc. Jpa. 17 48 (1935)

  34. C I Pekeris Phys. Rev. 45 98 (1934)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. N. Ikot.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ikot, A.N., Maghsoodi, E., Zarrinkamar, S. et al. Supersymmetry quantum mechanics to Dirac equation with a modified Yukawa potential and a Yukawa tensor term. Indian J Phys 88, 283–292 (2014). https://doi.org/10.1007/s12648-013-0403-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-013-0403-4

Keywords

PACS Nos.

Navigation