Open AccessHamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves
Author(s) -
Romain Bachelard,
Cristel Chandre,
Michel Vittot
Publication year - 2008
Publication title -
hal (le centre pour la communication scientifique directe)
Language(s) - English
DOI - 10.1103/physreve.78.03640
Subject(s) - physics , hamiltonian (control theory) , classical mechanics , electromagnetic radiation , charged particle , quantum electrodynamics , quantum mechanics , mathematics , ion , mathematical optimization
International audienceThe 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