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Foundations of Physics

, Volume 8, Issue 11–12, pp 879–891 | Cite as

When can a classical electron accelerate without radiating?

  • Philip Pearle
Article

Abstract

A classical point electron radiates when it accelerates. However, there are classical electron models with extended charge distributions which can accelerate and/or deform without radiating. Can a model be contrived that will undergo radiationless motion while accelerating (on the average) over a distance large compared to its size? The answer is no: we prove that the “center” of the electron is always closer than the electron “diameter” to a fictitious point undergoing constant-velocity motion, if the electron's motion is radiationless.

Keywords

Charge Distribution Electron Model Classical Point Classical Electron Point Electron 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    D. Bohm and M. Weinstein,Phys. Rev. 74, 1789 (1948).Google Scholar
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    G. H. Goedecke,Phys. Rev. 135B, 281 (1964).Google Scholar
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    P. M. Pearle,Found. Phys. 7, 931 (1977).Google Scholar
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    K. H. W. Panofsky and M. Phillips,Classical Electricity and Magnetism (Addison-Wesley, Mass., 1955), p. 219.Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Philip Pearle
    • 1
  1. 1.Hamilton CollegeClinton

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