Skip to main content
SpringerLink
Log in

Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

The Dirac equation is derived in the Foldy-Wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field; it is valid in the weak-field approximation. In contrast to previous studies, this equation includes all of the order derivatives of the field potentials. The quantum-mechanical equation is obtained for the spin motion in the Foldy-Wouthuysen representation; it is consistent with the classical Bargmann-Michel-Telegdi equation.

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. M. Ternov, V. R. Khalilov, and V. N. Rodionov,Interaction of Charged Particles with a Strong Electromagnetic Field [in Russian], Moscow University Publishers, Moscow (1982).

    Google Scholar 

  2. S. R. de Groot and L. G. Sattorp,Electrodynamics [in Russian], Nauka, Moscow (1982).

    Google Scholar 

  3. L. L. Foldy and S. A. Wouthuysen,Phys. Rev.,78, No. 1, 29–36 (1950).

    Google Scholar 

  4. H. Stephani,Ann. Phys.,15, No. 1, 12–16 (1965).

    Google Scholar 

  5. E. I. Blount,Phys. Rev.,128, No. 5, 2454–2458 (1962).

    Google Scholar 

  6. L. L. Foldy,Phys. Rev.,87, No. 5, 688–693 (1952).

    Google Scholar 

  7. V. B. Berestetskii, E. M. Lifshits, and L. P. Pitaevskii,Quantum Electrodynamics [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  8. S. L. Cherkas,Izv. Akad. Nauk Belarus. Ser. Fiz.-Mat. Nauk, No. 2, 70–75 (1994).

  9. V. Bargmann, L. Michel, and V. I. Telegdi,Phys. Rev. Lett.,2, No. 10, 435–437 (1959).

    Google Scholar 

  10. V. G. Baryshevskii,Pis'ma Zh. Eksp. Teor. Fiz.,5, 182–185 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute for Nuclear Problems at the Belorussian State University, USSR

    A. Ya. Silenko

Authors
  1. A. Ya. Silenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 1, pp. 46–54, October, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Silenko, A.Y. Dirac equation in the foldy-wouthuysen representation describing the interaction of spin-1/2 relativistic particles with an external electromagnetic field. Theor Math Phys 105, 1224–1230 (1995). https://doi.org/10.1007/BF02067491

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02067491

Keywords

Search

Navigation