A geometric view of Hamiltonian perturbation theory

Physics – Plasma Physics

Scientific paper

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7 pages, Typos corrected in revised version. Accepted for publication in Physics Letters A

Scientific paper

10.1016/S0375-9601(01)00722-8

The variational formulation for Lie-transform Hamiltonian perturbation theory
is presented in terms of an action functional defined on a two-dimensional
parameter space. A fundamental equation in Hamiltonian perturbation theory is
shown to result from the freedom of choice of the integration path for the
action functional.

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