A mechanical model for analyzing the runaway solutions in the radiation reaction problem
type: Item
instance of: scholarly article
title: A mechanical model for analyzing the runaway solutions in the radiation reaction problem
zbMATH Open document ID: 1123.78004
author: J. L. Jiménez
author: J. A. E. Roa-Neri
author: Patricia A. Vargas
published in: Foundations of Physics
publication date: 2007-05-10T00:00:00Z
review text: The Abraham-Lorentz equation is the focus in almost all studies on the dynamics of charged particles taking into account radiation reaction. Difficulties such as the runway solutions, among others, arising from this equation have made it famous. For more than a century, this controversial problem has been analyzed for several points of view. The aim of this work is the understanding of the origin of these difficulties. For this purpose a mechanical model, very similar to the one proposed by Burke, is exhaustively analyzed. First an exact solution in one dimension is found, then an analysis of the approximations is carried out and finally, some features of a three-dimensional mechanical model is exhibited in order to understand the origin of difficulties in electrodynamics.
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 5151354
zbMATH Keywords: classical dynamics
zbMATH Keywords: radiation reaction problem
zbMATH Keywords: nonlinear equation of motion
zbMATH Keywords: linear approximation
zbMATH Keywords: Abraham-Lorentz equation
zbMATH Keywords: boundary conditions
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: s10701-007-9109-9
OpenAlex ID: W1986953998
cites work: Radiation damping of a quantum particle with a spin magnetic moment
cites work: Q3953228
DOI: 10.1007/S10701-007-9109-9
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description: scientific article; zbMATH DE number 5151354