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  1. 1 Acta Physica Polonica A

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  1. 1 1994

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  1. 1 Morrison P.

  2. 1 Shadwick B.

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Canonization and Diagonalization of an Infinite Dimensional Noncanonical Hamiltonian System: Linear Vlasov Theory

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Morrison P., Shadwick B.
Acta Physica Polonica A
|
1994
|
vol. 85
|
issue 4
759-769
EN
The Vlasov-Poisson equation, which is an infinite dimensional non-canonical Hamiltonian system, is linearized about a stable homogeneous equilibrium. Canonical variables for the resulting linear system are obtained. A coordinate transformation is introduced that brings the system, which possesses a continuous spectrum, into the action-angle form where the linearized energy is diagonal.
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