The search of the correct equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field, the so-called radiation-reaction equation of motion, remains elusive to date. In this paper we intend to point out why this is so. The discussion is based on the direct construction of the EM self-potentials produced by a charged spherical particle under the action of an external EM force. In particular we intend to analyze basic features of the LAD (Lorentz-Abraham-Dirac) and the LL (Landau-Lifschitz) equations. Both are shown to lead to incorrect or incomplete results.
On the Validity of the LAD and LL Classical Radiation-ReactionEquations
TESSAROTTO, MASSIMO;
2008-01-01
Abstract
The search of the correct equation of motion for a classical charged particle under the action of its electromagnetic (EM) self-field, the so-called radiation-reaction equation of motion, remains elusive to date. In this paper we intend to point out why this is so. The discussion is based on the direct construction of the EM self-potentials produced by a charged spherical particle under the action of an external EM force. In particular we intend to analyze basic features of the LAD (Lorentz-Abraham-Dirac) and the LL (Landau-Lifschitz) equations. Both are shown to lead to incorrect or incomplete results.File in questo prodotto:
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