Skip to main content
SpringerLink
Log in

Dirac particle in the presence of a plane waveand constant magnetic fields: path integral approach

  • theoretical physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

The Green function (GF) related to the problem of a Dirac particle interacting with a plane wave and constant magnetic fields is calculated in the framework of a path integral via the Alexandrou et al. formalism according to the so-called global projection. As a calculation tool, we introduce two identities (constraints) into this formalism; their main role is the reduction of the dimension of the integral and the emergence in a natural way of some classical paths and, due to the existence of a constant electromagnetic field, we have used the technique of fluctuations. Hence the calculation of the GF is reduced to a known Gaussian integral plus a contribution from the effective classical action.

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. J.L. Martin, Proc. R. Soc. London, Ser. A 251, 536 (1959); 251, 543 (1959)

    Google Scholar 

  2. F.A. Berezin, M.S. Marinov, JETP Lett. 21, 320 (1975); Ann. Phys. (NY) 104, 336 (1977)

    Google Scholar 

  3. D.M. Gitman, S.I. Zlatev, Phys. Rev. D 55, 7701 (1997), arXiv: hep-th/9608179

    Article  Google Scholar 

  4. D.M. Gitman, A.V. Saa, Class Quant. Grav. 10, 1447 (1993)

    Article  Google Scholar 

  5. L. Brink, S. Deser, B. Zumino, P. Di Vecchia, P. Howe, Phys. Lett. B 64, 435 (1976)

    Article  Google Scholar 

  6. S.Zeggari, T. Boudjedaa, L. Chetouani, Czech. J. Phys. 51, 185 (2001)

    Article  Google Scholar 

  7. S. Zeggari, T. Boudjedaa, L. Chetouani, Phys. Scripta 64, 285 (2001)

    Article  Google Scholar 

  8. S. Bourouaine, Ann. Phys. (Leipzig) 14, 207 (2005)

    Article  Google Scholar 

  9. N. Boudiaf, T. Boudjedaa, L. Chetouani, Eur. Phys. J. C 22, 593 (2001)

    Article  Google Scholar 

  10. W. Cruz, J. Phys. A 30, 5225 (1997), arXiv: hep/9710133

    Google Scholar 

  11. N. Boudiaf, L. Chetouani, Eur. Phys. J. C 20, 585 (2001)

    Google Scholar 

  12. P. Di Vecchia, F. Ravndal, Phys. Lett. A 73, 371 (1979)

    Article  Google Scholar 

  13. F. Ravndal, Phys. Rev. D 21, 2823 (1980)

    Article  Google Scholar 

  14. C. Alexandrou, R. Rosenfelder, A.W. Schreiber, Phys. Rev. A 59, 1762 (1998)

    Article  Google Scholar 

  15. B. Bentag, L. Chetouani, L. Guechi, T. F. Hammann, Il Nuovo Cimento. B 111, N. 99 (1996)

  16. B. Bentag, T. Boudjedaa, L. Chetouani, Ann. Phys. (Leipzig) 9, 103 (2000)

    Article  Google Scholar 

  17. R.P. Feynman, H.R. Hibbs, Quantum Mechanics and Path Integral, McGraw-Hill, New York (NY), 1965

  18. I.H. Duru, H. Kleinert, Phys. Letter. B 84,185 (1979); Fortshr. Phys. 30, 401 (1982)

    Article  Google Scholar 

  19. A.O. Barut, N. Zanghi, Phys. Rev. Lett. 52, 2009 (1984); H.S. Snyder, Phys. Rev 71, 38 (1947)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, Faculty of Sciences, Mentoury University, Constantine, Algeria

    S. Bourouaine

Authors
  1. S. Bourouaine
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Bourouaine.

Additional information

Received: 22 January 2005, Revised: 16 May 2005, Published online: 9 August 2005

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bourouaine, S. Dirac particle in the presence of a plane waveand constant magnetic fields: path integral approach. Eur. Phys. J. C 44, 131–137 (2005). https://doi.org/10.1140/epjc/s2005-02352-4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2005-02352-4

Keywords

Search

Navigation