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Pair creation in Feshbach-Villars formalism with two components

  • theoretical physics
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Abstract.

We have studied the behavior of the Feshbach-Villars equation (FV0) in comparison with the Klein-Gordon one (KG) in the problem of particle pair creation from the vacuum in an external electromagnetic field, considering two approaches: the Schwinger effective action method and the Bogoliubov transformation technique. In the first approach the vacuum to vacuum transition amplitude is calculated treating the FV0 field like a bosonic field. For the second approach, that uses canonical quantization, it is shown that the relative fields and their conjugate moments obey a commutation relation and not anticommutation one. The pair creation probability and the probability that the vacuum remains a vacuum calculated from the FV0 equation are, consequently, the same as those obtained from the KG one.

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References

  1. F. Gross, Relativistic quantum mechanics and field theory (Wiley-Interscience, New York 1993)

  2. H. Feshbach, F. Villars, Rev. Mod. Phys. 30, 24 (1958)

    Article  Google Scholar 

  3. J.D. Bjorken, S.D. Drell, Relativistic quantum fields (McGraw Hill, New York 1965)

  4. T. Boudjedaa, L. Chetouani, M. Merad, Il Nuovo Cimento 11, 1261 (1999); Chin. J. Phys. 6, 1020 (2000), Turk. J. Phys. 25, (2001)

    Google Scholar 

  5. M. Merad, L. Chetouani, A. Bounamés, Phys. Lett. A 267, 225 (2000)

    Article  CAS  Google Scholar 

  6. A. Bounamés, L. Chetouani, Phys. Lett. A 267, 225 (2000)

    Article  CAS  Google Scholar 

  7. B.A. Robson, S.H. Sutanto, Int. J. Theor. Phys. 40, 1491 (2001)

    Article  CAS  Google Scholar 

  8. J. Schwinger, Phys. Rev. 82, 664 (1951)

    Article  Google Scholar 

  9. W. Heisenberg, H. Euler, Z. Phys. 98, 714 (1936)

    Article  CAS  Google Scholar 

  10. B.R. Holstein, Am. J. Phys. 67, (Vol. 6) 499 (1998)

  11. E.S. Fradkin, D.M. Gitman, S.M. Shvartsman, Quantum electrodynamics with unstable vacuum (Springer-Verlag, Berlin 1991)

  12. A.I. Nikishov, hep-th/0111137

  13. A.I. Nikishov, hep-th/0202024

  14. S.P. Gavrilov, D.M. Gitman, hep-th/9603152 v1

  15. A. Calogeracos, N. Dombey, Contemp. Phys. 40, 313 (1999)

    Article  Google Scholar 

  16. O. Klein, Z. Phys. 53, 157 (1929)

    Article  CAS  Google Scholar 

  17. I.S. Gradshteyn, I.M. Ryzhik, Table of integrals, series, and products (Academic Press, New York 1979)

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Authors and Affiliations

  1. Département de Physique, Faculté de Sciences, Université Mentouri, Route Ain El-Bey, 25000, Constantine, Algérie

    S. Haouat & L. Chetouani

Authors
  1. S. Haouat
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  2. L. Chetouani
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Additional information

Received: 12 January 2005, Revised: 24 March 2005, Published online: 4 May 2005

PACS:

03.65.Ca, 03.65.Db, 03.65.Pm, 23.20.Ra

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Haouat, S., Chetouani, L. Pair creation in Feshbach-Villars formalism with two components. Eur. Phys. J. C 41, 297–303 (2005). https://doi.org/10.1140/epjc/s2005-02236-7

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  • DOI: https://doi.org/10.1140/epjc/s2005-02236-7

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