Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves
Plasma Physics
2009-11-13 v1 Optics
Abstract
The Hamiltonian description of the self-consistent interaction between an electromagnetic plane-wave and a co-propagating beam of charged particles is considered. We show how the motion can be reduced to a one-dimensional Hamiltonian model (in a canonical setting) from the Vlasov-Maxwell Poisson brackets. The reduction to this paradigmatic Hamiltonian model is performed using a Lie algebraic formalism which allows us to remain Hamiltonian at each step of the derivation.
Cite
@article{arxiv.0802.2602,
title = {Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves},
author = {Romain Bachelard and Cristel Chandre and Michel Vittot},
journal= {arXiv preprint arXiv:0802.2602},
year = {2009}
}