On the validity of the LAD and LL classical radiation-reaction equations

M. Dorigo; M. Tessarotto; P. Nicolini; A. Beklemishev

doi:10.1063/1.3076464

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arXiv · 0806.4458

On the validity of the LAD and LL classical radiation-reaction equations

M. Dorigo·M. Tessarotto·P. Nicolini·A. Beklemishev

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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 \textit{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.

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M. Dorigo, M. Tessarotto, P. Nicolini, A. Beklemishev. 2008-07-05. On the validity of the LAD and LL classical radiation-reaction equations. https://doi.org/10.1063/1.3076464

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