# Scattering asymptotics for a charged particle coupled to the Maxwell field

@article{Imaykin2011ScatteringAF,
title={Scattering asymptotics for a charged particle coupled to the Maxwell field},
author={Valery Imaykin and Alexander Komech and Herbert Spohn},
journal={Journal of Mathematical Physics},
year={2011},
volume={52},
pages={042701-042701}
}
• Published 1 April 2011
• Mathematics
• Journal of Mathematical Physics
We establish long time soliton asymptotics for the nonlinear system of Maxwell equations coupled to a charged particle. The coupled system has a six-dimensional manifold of soliton solutions. We show that in the long time approximation, any solution, with an initial state close to the solitary manifold, is a sum of a soliton and a dispersive wave which is a solution of the free Maxwell equations. It is assumed that the charge density satisfies the Wiener condition. The proof further develops…
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