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Nov 9, 2019 at 5:35 vote accept Maan
Nov 7, 2019 at 14:46 comment added Andrew Steane @Joker_vD The terms ignored by Landau-Lifshitz approach are not absolutely small, but small compared to a certain combination of charge, mass, size and acceleration. So they cannot be ignored when the acceleration is high enough. Having said that, one usually finds that for electrons the imprecision of ignoring quantum theory comes in sooner than the imprecision of ignoring these further terms in the classical formulae.
Oct 28, 2019 at 19:09 vote accept Maan
Nov 9, 2019 at 5:35
Oct 28, 2019 at 1:35 comment added Joker_vD I believe Rohrlich in his 3rd edition of "Classical Charged Particles" does provide a solution to self-force problem of point charges in classical framework (Supplement "The Physically Correct Dynamics", also ch. 9-4, 9-5). Basically, it postulates Landau-Lifshitz approximation on the grounds that offensive terms in Lorentz-Abraham-Dirac equation are "small" — i.e., belong to the quantum theory and therefore must be ignored.
Oct 27, 2019 at 15:25 history answered Andrew Steane CC BY-SA 4.0