Foundations of Physics

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

When can a classical electron accelerate without radiating?

  • Philip Pearle


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.


Charge Distribution Electron Model Classical Point Classical Electron Point Electron 
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Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • Philip Pearle
    • 1
  1. 1.Hamilton CollegeClinton

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