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arXiv · 0802.2602

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

Romain Bachelard·Cristel Chandre·Michel Vittot
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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.

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Romain Bachelard, Cristel Chandre, Michel Vittot. 2008-02-19. Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves. https://doi.org/10.1103/physreve.78.036407

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