Adiabatic limit for the Maxwell-Lorentz equations
type: Item
instance of: scholarly article
title: Adiabatic limit for the Maxwell-Lorentz equations
zbMATH Open document ID: 0971.35076
DOI: 10.1007/PL00001010
author: Herbert Spohn
author: Markus Kunze
published in: Annales Henri Poincaré
publication date: 2001-11-01T00:00:00Z
review text: This paper concerns the Abraham model for a rigid charge distribution coupled to an electromagnetic field subject to slowly varying external potentials. It is shown that in the adiabatic time limit the motion of the charged particles is governed by an effective Hamiltonian. To second-order it is necessary to add a small correction to the relativistically covariant radiation reaction, while to third-order the equation has a repulsive center manifold for which the true solution can be approximated by a trajectory on the center manifold. One surprising result obtained in the paper is that the radiation reaction appears only to depend on the total charge and not on its distribution.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 1529113
zbMATH Keywords: adiabatic limit
zbMATH Keywords: Maxwell-Lorentz equations
zbMATH Keywords: Abraham model for change distribution
reviewed by: Alan Jeffrey
MaRDI profile type: Publication
full work available at URL: pl00001010
OpenAlex ID: W2068706721
description: scientific article; zbMATH DE number 1529113