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

• Authors: P. Morrison , B. Shadwick
• Languages of publication: EN

Abstracts

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.

Keywords

EN

52.25.Dg; 52.25.Mq; 52.35.Fp

Discipline

• 52.25.Mq: Dielectric properties
• 52.25.Dg: Plasma kinetic equations
• 52.35.Fp: Electrostatic waves and oscillations (e.g., ion-acoustic waves)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1994
• Volume: 85
• Issue: 4
• Pages: 759-769

Dates

published

1994-04

Contributors

author

P. Morrison

• Department of Physics and Institute For Fusion Studies, University of Texas at Austin, Austin, Texas 78712, USA

author

B. Shadwick

• Department of Physics and Institute For Fusion Studies, University of Texas at Austin, Austin, Texas 78712, USA

Identifiers

DOI

10.12693/APhysPolA.85.759