Skip to main content
Log in

The chiral operators and the statistical properties of the (2+1)-dimensional Dirac oscillator in noncommutative space

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

Abstract

We study the (2+1)-dimensional Dirac oscillator in the presence of an external uniform magnetic field in noncommutative space. Then, we obtain the energy spectrum. In addition, we consider the statistical properties of the system.

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.

Similar content being viewed by others

References

  1. M. Moshinsky, A. Szczepaniak, J. Phys. A: Math. Gen. 22, 817 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  2. M. Moshinsky, Y.F. Smirnov, The Harmonic Oscillator in Modern Physics (Harwood Academic Publishers, Amsterdam, 1996).

  3. P. Rozmej, R. Arvieu, J. Phys. A 32, 5367 (1999) quant-ph/9903073.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  4. M.H. Pacheco, R.R. Landim, C.A.S. Almeida, Phys. Lett. A 311, 93 (2003) hep-th/0303142.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  5. A. Boumali, H. Hassanabadi, Eur. Phys. J. Plus 128, 124 (2013).

    Article  Google Scholar 

  6. H. Hassanabadi, S.S. Hosseini, A. Boumali, S. Zarrinkamar, J. Math. Phys. 55, 033502 (2014).

    Article  MathSciNet  ADS  Google Scholar 

  7. N. Seiberg, E. Witten, JHEP 09, 032 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  8. N. Seiberg, L. Susskind, N. Toumbas, JHEP 06, 044 (2000).

    Article  MathSciNet  ADS  Google Scholar 

  9. M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  10. P.M. Zhang, P.A. Horvathy, Ann. Phys. 327, 1730 (2012).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  11. A. Connes, M.R. Douglas, A. Schwarz, JHEP 02, 003 (1998).

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  13. B. Basu, S. Ghosh, Phys. Lett. A 346, 133 (2005).

    Article  MATH  ADS  Google Scholar 

  14. J.W. Moffat, Phys. Lett. B 493, 142 (2000).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  15. C. Duval, P.A. Horvathy, Phys. Lett. B 479, 284 (2000).

    Article  MathSciNet  MATH  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. P.A. Horvathy, Ann. Phys. (N.Y.) 299, 128 (2002).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  18. A. Connes, M. Douglas, A. Schwarz, JHEP 02, 003 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  19. Y. Cheung, M. Krogh, Nucl. Phys. B 528, 185 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  20. C. Chu, P. Ho, Nucl. Phys. B 550, 151 (1999).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  21. L.R. Ribeiro, E. Passos, C. Furtado, J.R. Nascimento, Eur. Phys. J. C 56, 597 (2008).

    Article  ADS  Google Scholar 

  22. T. Curtright, D. Fairlie, C. Zachos, Phys. Rev. D 58, 025002 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  23. W. Greiner Relativistic Quantum Mechanics: Wave Equations (Springer, Berlin, 2000).

    Article  MathSciNet  ADS  Google Scholar 

  24. M.H. Pacheco, R.R. Landim, C.A.S. Almeida, Phys. Lett. A 311, 93 (2003).

    Article  MathSciNet  MATH  ADS  Google Scholar 

  25. A. Bermudez, M.A. Martin-Delgado, A. Luis, Phys. Rev. A 77, 063815 (2008).

    Article  ADS  Google Scholar 

  26. C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics, Vol. 1 (Wiley, Paris/New York, 1970).

  27. B.H. Bransden, C.J. Joachain, Quantum Mechanics Harlow (Prentice Hall, England, New York, 2000).

  28. R.K. Pathria, Statistical Mechanics, 1st edition (Pergamon Press, Oxford, 1972).

  29. V. Santos, R.V. Maluf, C.A.S. Almeida, arXiv:1401.8051 [hep-th].

  30. G. Arfken, Mathematical Methods for Physicists, 3rd edition (Academic Press, Orlando, FL, 1985) pp. 327–338.

  31. J.W.L. Glaisher, Trans. Cambridge Philos. Soc. 12, 390 (1871–1879).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Hassanabadi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hassanabadi, H., Hosseini, S.S., Ikot, A.N. et al. The chiral operators and the statistical properties of the (2+1)-dimensional Dirac oscillator in noncommutative space. Eur. Phys. J. Plus 129, 232 (2014). https://doi.org/10.1140/epjp/i2014-14232-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14232-x

Keywords

Navigation