 01138 Philip J. Morrison
 Hamiltonian description of Vlasov dynamics: action angle variables for the continuous spectrum
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Apr 6, 01

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Abstract. The linear VlasovPoisson system for homogeneous, stable equilibria
is solved by means of a novel integral transform that is a generalization
alization of the Hilbert transform. The integral transform provides a
means for describing the dynamics of the continuous spectrum that
is wellknown to occur in this system. The results are interpreted in
the context of Hamiltonian systems theory, where it is shown that the
integral transform defines a canonical transformation to actionangle
variables for this infinite degreeoffreedom system. A means for
attaching Krein (energy) signature to a continuum eigenmode is given.
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