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Delayed Equation for Charged Rigid Nonrelativistic Ball

Classical Physics 2007-05-23 v1 Mathematical Physics math.MP

Abstract

Simple expression for self-force acting on radiating rigid charged ball is derived (Sommerfeld ball). It is shown that appropriate delayed equation of motion has solutions in general differ from that for Sommerfeld sphere - there are no "radiationless" solutions, but there are oscillating without damping solutions though self-force has nonzero value.

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@article{arxiv.physics/0205012,
  title  = {Delayed Equation for Charged Rigid Nonrelativistic Ball},
  author = {Alexander A. Vlasov},
  journal= {arXiv preprint arXiv:physics/0205012},
  year   = {2007}
}

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