Phys. Rev. E 78, 036407 (2008) [8 pages]Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic wavesReceived 18 February 2008; published 19 September 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.036407
DOI:
10.1103/PhysRevE.78.036407
PACS:
52.65.Ff, 45.20.Jj, 41.60.Cr, 52.35.Qz
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