Skip to main content
SpringerLink
Log in

The DKP equation with the Coulomb potential in non-commutative space

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

Abstract.

The Duffin-Kemmer-Petiau equation is considered for the Coulomb potential in the spherical polar coordinate in laboratory frame in non-commutative space. The energy shift due to non-commutativity is obtained via the perturbation theory. The degeneracy of the commutative spectral line is broken in transition from commutative to non-commutative space.

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. N. Seiberg, E. Witten, JHEP 09, 032 (1999) hep-th/9908142

    Article  ADS  MathSciNet  Google Scholar 

  2. A. Connes, M.R. Douglas, A. Schwarz, JHEP 02, 003 (1998) hep-th/9711162

    Article  ADS  MathSciNet  Google Scholar 

  3. M.R. Douglas, C.M. Hull, JHEP 02, 008 (1998) hep-th/9711165

    Article  ADS  MathSciNet  Google Scholar 

  4. F. Ardalan, H. Arfaei, M.M. Sheikh-Jabbari, JHEP 02, 016 (1999) hep-th/9810072

    Article  ADS  MathSciNet  Google Scholar 

  5. S.-C. Chu, P.-M. Ho, Nucl. Phys. B 550, 151 (1999) hep-th/9812219

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. S.-C. Chu, P.-M. Ho, Nucl. Phys. B 568, 447 (2000) hep-th/9906192

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. M. Chaichian, M.M. Sheikh-Jabbari, A. Tureanu, Phys. Rev. Lett. 86, 2716 (2001)

    Article  ADS  Google Scholar 

  8. M. Chaichian, A. Demichev, P. Presnajder, M.M. Sheikh-Jabbari, A. Tureanu, Nucl. Phys. B 611, 383 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. M. Chaichian, P. Presnajder, M.M. Sheikh-Jabbari, A. Tureanu, Phys. Lett. B 527, 149 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. H. Falomir, J. Gamboa, M. Loewe, F. Mendez, J.C. Rojas, Phys. Rev. D 66, 045018 (2002)

    Article  ADS  Google Scholar 

  11. O.F. Dayi, A. Jellal, J. Math. Phys. 43, 4592 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  12. K. Li, S. Dulat, Eur. Phys. J. C 46, 825 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. B. Mirza, M. Zarei, Eur. Phys. J. C 32, 583 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. K. Li, J.H. Wang, Eur. Phys. J. C 50, 1007 (2007)

    Article  ADS  MATH  Google Scholar 

  15. K. Li, X.H. Cao, D.Y. Wang, Chin. Phys. 15, 2236 (2006)

    Article  ADS  Google Scholar 

  16. B. Mirza, R. Narimani, M. Zarei, Eur. Phys. J. C 48, 641 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. S. Dulat, K. Li, Eur. Phys. J. C 54, 333 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  18. J. Gamboa, M. Loewe, F. Mendez, J.C. Rojas, Mod. Phys. Lett. A 16, 2075 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. S. Belluchi, Phys. Lett. B 522, 345 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  20. B. Muthukumar, P. Mitra, Phys. Rev. D 66, 027701 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  21. S. Dulat, K. LI, Chin. Phys. C 32, 92 (2008)

    Article  ADS  Google Scholar 

  22. J.H. Wang, K. Li, S. Dulat, Chin. Phys. C 32, 803 (2008)

    Article  ADS  Google Scholar 

  23. Z.F. Ezawa, Quantum Hall Effects: Field Theoretical Approach and Related Topics (World Scientific, Singapore, 2000)

  24. G. Petiau, University of Paris thesis (1936), published in Acad. R. Belg., Classe Sci., Mem. in 8o 16, No. 2 (1936)

  25. R.J. Duffin, Phys. Rev. 54, 1114 (1938)

    Article  ADS  Google Scholar 

  26. N. Kemmer, Proc. R. Soc. A 173, 91 (1939)

    Article  ADS  MathSciNet  Google Scholar 

  27. E. Friedman, G. Kalbermann, Phys. Rev. C 34, 2244 (1986)

    Article  ADS  Google Scholar 

  28. B.C. Clark et al., Phys. Rev. Lett. 55, 592 (1985)

    Article  ADS  Google Scholar 

  29. R.E. Kozack et al., Phys. Rev. C 40, 2181 (1989)

    Article  ADS  Google Scholar 

  30. V. Gribov, Eur. Phys. J. C 10, 71 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  31. I.V. Kanatchikov, Rep. Math. Phys. 46, 107 (2000) Concepts of Physics, Vol. II

    Article  ADS  MATH  MathSciNet  Google Scholar 

  32. R. Casana, V.Ya. Fainberg, B.M. Pimentel, J.T. Lunardi R.G. Teixeira, Class. Quantum. Grav. 20, 2457 (2003)

    Article  ADS  MATH  Google Scholar 

  33. J.T. Lunardi, L.A. Manzoni, B.M. Pimentel, J.S. Valverde, Int. J. Mod. Phys. A 17, 205 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  34. H. Hassanabadi, B.H. Yazarloo, S. Zarrinkamar, A.A. Rajabi, Phys. Rev. C 84, 064003 (2011)

    Article  ADS  Google Scholar 

  35. R. Oudi, S. Hassanabadi, A.A. Rajabi, H. Hassanabadi, Commun. Theor. Phys. 57, 15 (2012)

    Article  ADS  MATH  Google Scholar 

  36. H. Hassanabadi, S.F. Forouhandeh, H. Rahimov, S. Zarrinkamar, B.H. Yazarloo, Can. J. Phys. 90, 299 (2012)

    Article  ADS  Google Scholar 

  37. A. Boumali, Can. J. Phys. 85, 1417 (2007)

    Article  ADS  Google Scholar 

  38. A. Boumali, J. Math. Phys. 49, 022302 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  39. M. Merad, S. Bensaid, J. Math. Phys. 48, 073515 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  40. Y. Kasri, L. Chetouani, Int. J. Theor. Phys. 47, 2249 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  41. Z. Molaee, M. Ghominejad, H. Hassanabadi, S. Zarrinkamar, Eur. Phys. J. Plus 127, 116 (2012)

    Article  Google Scholar 

  42. G. Guo, Z. Yang, C. Long, S. Qin, Can. J. Phys. 87, 989 (2009)

    Article  ADS  Google Scholar 

  43. Z.H. Yang, C.Y. Long, S.J. Qin, Z.W. Long, Int. J. Theor. Phys. 49, 644 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  44. G.R. de Melo, M. de Montigny, E.S. Santos, Int. J. Theor. Phys. Conf. Ser. 343, 012028 (2012)

    Article  ADS  Google Scholar 

  45. M. Falek, M. Merad, Commun. Theor. Phys. 50, 587 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  46. H. Motavalli, A.R. Akbarieh, Mod. Phys. Lett. A 25, 2523 (2010)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  47. Slimane Zaim, Lamine Khodja, Yazid Delenda, Int. J. Mod. Phys. A 26, 4133 (2011)

    Article  ADS  MATH  Google Scholar 

  48. Slimane Zaim, arXiv:1301.7297v2 [hep-th]

  49. S.H. Dong, X.Y. Gu, Z.Q. Ma, S. Dong, Int. J. Mod. Phys. E 11, 483 (2002)

    Article  ADS  Google Scholar 

  50. X.Y. Gu, Z.Q. Ma, S.H. Dong, Int. J. Mod. Phys. E 11, 335 (2002)

    Article  ADS  Google Scholar 

  51. S.H. Dong, G.H. Sun, D. Popov, J. Math. Phys. 44, 4467 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  52. S.H. Dong, M.L. Cassou, Phys. Lett. A 330, 168 (2004)

    Article  ADS  MATH  Google Scholar 

  53. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964)

Download references

Author information

Authors and Affiliations

  1. Physics Department, Semnan University, Semnan, Iran

    S. Hassanabadi & M. Ghominejad

Authors
  1. S. Hassanabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Ghominejad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Ghominejad.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hassanabadi, S., Ghominejad, M. The DKP equation with the Coulomb potential in non-commutative space. Eur. Phys. J. Plus 129, 273 (2014). https://doi.org/10.1140/epjp/i2014-14273-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14273-1

Keywords

Search

Navigation