Skip to main content
SpringerLink
Log in

Path integral calculation of relativistic Green’s functions for particles in the field of the plane wave

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The Green’s functions for charged particles of spin zero and 1/2 interacting with electromagnetic plane wave, expressed in the coordinate gauge, are calculated in the path integral framework using the delta-functional technique. It is also shown that in the case of spin zero, the semi-classical Green’s function is accurate.

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. I. H. Duru andH. Kleinert:Phys. Lett. B,84, 185 (1979);Forschr. Phys.,30, 401 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  2. A. O. Barut andN. Zanghi:Phys. Rev. Lett.,52, 2009 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  3. A. O. Barut andI. H. Duru:Phys. Rev. Lett.,53, 2355 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  4. A. Inomata andM. A. Kayed:Phys. Rev. Lett.,53, 107 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  5. L. C. Bienenharn:Phys. Rev.,126, 845 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  6. G. J. Papadopoulos andJ. T. Devresse:Phys. Rev. D,13, 2227 (1976).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. T. Boudjedaa, L. Chetouani, L. Guéchi andT. F. Hammann:Phys. Scr.,46, 289 (1992).

    Article  ADS  Google Scholar 

  8. A. Anderson andS. B. Anderson:Ann. Phys. (N.Y.),199, 155 (1990).

    Article  ADS  MATH  Google Scholar 

  9. A. N. Vaidya andC. Farina De Souza:Nuovo Cimento B,101, 69 (1988).

    Article  ADS  Google Scholar 

  10. C. Cronstrom:Phys. Lett. B,90, 267 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  11. J. Schwinger:Phys. Rev.,82, 664 (1951).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Vaidya, C. Farina andM. Hoff:Nuovo Cimento A,105, 925 (1992).

    Article  ADS  Google Scholar 

  13. H. Kleinert:Path-Integral in Quantum Mechanics, Statistics and Polymer Physics (World Scientific, Singapore, 1990).

    Book  Google Scholar 

Download references

Author information

Author notes

  1. T. Boudjedaa, L. Chetouani & L. Guéchi

    Present address: Département de Physique Théorique, Université de Constantine, Constantine, Algeria

  2. T. F. Hammann

    Present address: Laboratoire de Mathématiques Physique Mathématique et Informatique Faculté des Sciences et Techniques, Université de Haute Alsace, 4 rue des Frères Lumière, F68093, Mulhouse, France

Authors and Affiliations

    Authors
    1. T. Boudjedaa
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. L. Chetouani
      View author publications

      You can also search for this author in PubMed Google Scholar

    3. L. Guéchi
      View author publications

      You can also search for this author in PubMed Google Scholar

    4. T. F. Hammann
      View author publications

      You can also search for this author in PubMed Google Scholar

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Boudjedaa, T., Chetouani, L., Guéchi, L. et al. Path integral calculation of relativistic Green’s functions for particles in the field of the plane wave. Nuov Cim B 109, 219–228 (1994). https://doi.org/10.1007/BF02727285

    Download citation

    • Received:

    • Accepted:

    • Published:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF02727285

    PACS 03.65

    PACS 03.65.Db

    PACS 03.65.Ca

    PACS 03.65.Sq

    Search

    Navigation