Skip to main content
Log in

Nonlinear equations for fields radiated by particles

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Poincaré-invariant differential equations for scalar and vector lightlike fields radiated by a particle moving in an n-dimensional Minkowski space are constructed. A possible description of interacting particles by means of singular solutions of these equations is suggested.

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. BelL., Phys. Rev. D18, 4780 (1978).

    Article  Google Scholar 

  2. JeorjiadzeG.P., PogrebkovA.K., and PolivanovM.C., Teoret. i Matem. Fizika 40, 221 (1979) (in Russian).

    Google Scholar 

  3. PogrebkovA.K., Teoret. i Matem. Fizika 45, 161 (1980) (in Russian).

    Google Scholar 

  4. LiouvilleJ., J. Math. Pures Appl. 18, 71 (1853).

    Google Scholar 

  5. TagirovE.A. and TodorovI.T., Acta Phys. Austr. 51, 135 (1979).

    Google Scholar 

  6. Gel'fandI.M. and ShilovG.E., Generalized Functions, vol. 1, Academic Press, N.Y., 1964.

    Google Scholar 

  7. WheelerJ.A. and FeynmanR.Ph., Rev. Mod. Phys. 21, 425 (1949).

    Article  Google Scholar 

  8. Pogrebkov, A.K. and Todorov, I.T., to be published.

  9. PogrebkovA.K., Lett. Math. Phys. 5, 277 (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Steklov Mathematical Institute, Moscow, U.S.S.R.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pogrebkov, A.K. Nonlinear equations for fields radiated by particles. Lett Math Phys 6, 243–248 (1982). https://doi.org/10.1007/BF00400317

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400317

Keywords

Navigation