Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves.
The Hamiltonian description of the self-consistent interaction between an electromagnetic plane wave and a copropagating 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 preserve the Hamiltonian character at each step of the derivation.
Centre de Physique Théorique-CNRS, Luminy-Case 907, 13288 Marseille cedex 09, France
R
R
Bachelard
C
C
Chandre
M
M
Vittot