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An analysis of the radiation reaction in a charged dumbbell
Authors:J A E Roa-Neri  J L Jimenez
Institution:(1) Area de Física, Division de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana (Azcapotzalco), Av. San Pablo 180, 02200 México, D. F. México;(2) Departamento de Física División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana (Iztapalapa), A. P. 55-534, 09340 México, D. F. México;(3) Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, A. P. 21-939, 04000 México, D. F. México
Abstract:We make a thorough non-covariant analysis of the derivation of the equation of motion for a charged particle, including radiation reaction, by means of a simple model for the charge: a dumbbell. This model and our method to expand retarded quantities, based on complex-variable theory, allow us to avoid some of the usual approximations, so we can show several features of the radiation reaction problem.
Keywords:radiation reaction  Lagrange expansion  Lié  nard-Wiechert fields  extended charge  Abraham-Lorentz equation
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