Canonization and Diagonalization of an Infinite Dimensional Noncanonical Hamiltonian System: Linear Vlasov Theory |
| P.J. Morrison and B.A. Shadwick Department of Physics and Institute For Fusion Studies, University of Texas at Austin, Austin, Texas 78712, USA |
| Dedicated to Prof. Iwo Białynicki-Birula on the occasion of his 60th birthday |
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| 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. |
| DOI: 10.12693/APhysPolA.85.759 PACS numbers: 52.25.Dg, 52.25.Mq, 52.35.Fp |