Skip to main content

Causality and Nonlocality in Problem of Radiative Damping of Electron

  • Conference paper
Causality and Locality in Modern Physics

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 97))

Abstract

A simple way to solve the problem of radiative damping is proposed. [Variant: Quantum-fluctuation nature of radiation damping is shown. Nonrelativistic quantum theory of the phenomenon based on causality principle is developed. Quantum equation for radiative damping force which satisfies causality principle and does not contain unstable and self-accelerating solutions is derived. The principal role of retardiation of the electromagnetic interaction or effective quantum nonlocality at the scale of Compton length of electron λ c = ħ/mc is outlined. Strict substantiation of known classical equation for damping force on the basis of quantum theory is given.] It is shown on the special role of the causality principle and vacuum fluctuations of the electromagnetic field. Finally, it is shown that for this it is necessary to take into account in the interaction between the electron and the electromagnetic field the alowance of the time lag or the effective quantum nonlocality for distance of λ c = ħ/mc.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Landau L.D., and Lifshiz E.M. The Classical Theory of Fields, Pergamon Press, Oxford, 1975.

    Google Scholar 

  2. Ginzburg V.L. Theoretical Physics and Astrophysics, Pergamon Press, Oxford, 1975.

    Google Scholar 

  3. Efremov G.F. Theory of Radiative Damping of a Relativistic Electron, Soy. Phys. JETP 86 (1996), 896–901.

    ADS  Google Scholar 

  4. Jackson

    Google Scholar 

  5. Ford G.W. and O’Connell R.F. [Title], Phys. Lett. A 157 (1991), 217–219

    Article  ADS  Google Scholar 

  6. Ford G.W. and O’Connell R.F. [Title], Phys. Lett. A 158 (1991), 31–34;

    Article  ADS  Google Scholar 

  7. Ford G.W. and O’Connell R.F. [Title], Phys. Rev. A 44 (1991), 6386–6402.

    Article  ADS  Google Scholar 

  8. Seke J. [Title], J. Phys. A 25 (1992), 5415–5421.

    Article  MathSciNet  ADS  Google Scholar 

  9. Seke J. [Title], Phys. Rev. A 45 (1992), 542–560.

    Article  ADS  Google Scholar 

  10. Ford G.W., and O’Connell R.F. [Title], Phys. Lett. A 174 (1993), 182–184.

    Article  MathSciNet  ADS  Google Scholar 

  11. Pachucki K. [Title], Phys. Rev. A 52 (1995), 1079–1085.

    Article  ADS  Google Scholar 

  12. Hartemann F.V. [Title], Phys. Rev. Lett. 74 (1995), 1107–1110.

    Article  ADS  Google Scholar 

  13. Efremov G.F., Chekhov A.Y., Mourokh L.G., and Novikov M.A. Fluctuation-dissipation quantum electrodynamics, in Jeffers S. et al (eds), The Present Status of the Quantum Theory of Light, Kluwer Academic Publishers, Dordrecht, 1997, pp. 97–101.

    Chapter  Google Scholar 

  14. Efremov G.F., L.G.Mourokh, and Novikov M.A. Statistical theory of photon in the nonlinear media and in vacuum, in Jeffers S. et al (eds), The Present Status of the Quantum Theory of Light, Kluwer Academic Publishers, Dordrecht, 1997, pp. 103–106.

    Chapter  Google Scholar 

  15. Efremov G.F. Stochastical Equations for Opened Quantum Systems (in Russian), Gorky State University Press, Gorky, 1982.

    Google Scholar 

  16. Bochkov G.N., and Efremov G.F. Nonlinear Stochastic Models of Processes and Systems (in Russian), Gorky State University Press, Gorky, 1978.

    Google Scholar 

  17. Efremov G.F., and Smirnov A.Yu. [Title], Zh. Ezsp. Teor. Fiz. 80 (1981), 1071.

    Google Scholar 

  18. Landau L.D. and Lifshiz E.M. Statistical Physics, Part 1, Pergamon Press, Oxford, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Efremov, G.F., Novikov, M.A., Ivanov, V.V., Efremov, A.G. (1998). Causality and Nonlocality in Problem of Radiative Damping of Electron. In: Hunter, G., Jeffers, S., Vigier, JP. (eds) Causality and Locality in Modern Physics. Fundamental Theories of Physics, vol 97. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0990-3_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0990-3_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5092-2

  • Online ISBN: 978-94-017-0990-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics