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

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

2008-02-19

arxiv.org/abs/0802.2602v1

Physics

Plasma Physics

Scientific paper

10.1103/PhysRevE.78.036407

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.

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