Skip to main content
Log in

Improved calculation of the radiation power of a charged particle undergoing hyperbolic motion

  • Published:
Bulletin of the Lebedev Physics Institute Aims and scope Submit manuscript

Abstract

Within classical electrodynamics, exact formulas for calculating the radiation loss of the energy of a point charge undergoing hyperbolic motion, including the relativistic region, are proposed. For an ultrarelativistic particle, the improved radiation loss factor \( \frac{4} {5} \) γ 2 · e 2 · a 2 was obtained instead of the commonly used Larmor quantity \( \frac{2} {3} \) γ 2 · e 2 · a 2.

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. M. Born, Ann. d. Phys. 30, 1 (1909).

    Article  ADS  Google Scholar 

  2. V. L. Ginzburg, Usp. Fiz. Nauk 98(3), 569 (1969).

    Google Scholar 

  3. V. L. Ginzburg, Theoretical Physics and Astrophysics (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  4. E. Eriksen and O. Gron, Ann. Phys. 286, 320, 343, 373 (2000); 297, 243 (2002); 313, 147 (2004).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. J. Bicák and P. Krtous, Phys. Rev. Lett. 88, 211101 (2002); C. Almeida and A. Saa, Am. J. Phys. 74(2), 154 (2006).

  6. L. E. Gurevich, Electrodynamics (LGU, Leningrad, 1940) [in Russian].

    Google Scholar 

  7. T. Fulton and F. Rohrlich, Ann. Phys. (N.Y.) 9, 499 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  8. V. L. Ginzburg, V. N. Sazonov, and S. I. Syrovatskii, Usp. Fiz. Nauk 94(1), 63 (1968).

    Google Scholar 

  9. V. L. Ginzburg and S. I. Syrovatskii, Ann. Rev. Astron. Astrophys. 7, 375 (1969).

    Article  ADS  Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Field Theory (Nauka, Moscow, 1973; Pergamon, Oxford, 1977).

    Google Scholar 

  11. J. D. Jackson, Classical Electrodynamics (John Wiley and Sons, New York, 1999).

    MATH  Google Scholar 

  12. V. V. Lidskii, Teor. Mat. Fiz. 143(1), 112 (2005) [Theor. Math. Phys. 143, 583 (2005)].

    MathSciNet  Google Scholar 

Download references

Authors

Additional information

Original Russian Text © V.V. Lidskii, 2009, published in Kratkie Soobshcheniya po Fizike, 2009, Vol. 36, No. 2, pp. 31–40.

About this article

Cite this article

Lidskii, V.V. Improved calculation of the radiation power of a charged particle undergoing hyperbolic motion. Bull. Lebedev Phys. Inst. 36, 47–53 (2009). https://doi.org/10.3103/S1068335609020043

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068335609020043

Keywords

Navigation