带电粒子与电磁波自洽相互作用的哈密顿描述
Hamiltonian description of a self-consistent interaction between charged particles and electromagnetic waves
摘要：
考虑了电磁平面波与同向传播的带电粒子束之间自洽相互作用的哈密顿描述。我们展示了如何运动可以减少到一个一维的哈密顿模型（在规范设置）从弗拉索夫麦克斯韦泊松括号。减少到这个范式的哈密顿模型使用李代数形式主义，使我们能够保持哈密顿在每一步的推导。
英文摘要：
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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