A classical model for the Maxwell equations coupled with matter
Mathematical Physics
2020-12-15 v1 math.MP
Abstract
We present a simple model of interaction of the Maxwell equations with a matter field defined by the Klein-Gordon equation. A simple linear interaction and a nonlinear perurbation produce solutions of the equations containing hylomorphic solitons, namely stable, solitary waves whose existence is related to the ratio energy/charge. These solitons, at low energy, behave as poinwise charged particles in an electromagnetic field.
Cite
@article{arxiv.2012.07720,
title = {A classical model for the Maxwell equations coupled with matter},
author = {Vieri Benci},
journal= {arXiv preprint arXiv:2012.07720},
year = {2020}
}
Comments
No comment