Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves

Autor: Bachelard, Romain, Chandre, Cristel, Vittot, Michel
Rok vydání: 2008
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevE.78.036407
Popis: 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.
Databáze: arXiv