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Hamiltonian structure of the Maxwell-Vlasov equations. Interim report

Technical Report ·
OSTI ID:5909419
;
Morrison has shown that the Maxwell-Vlasov and the Vlasov-Poisson equations for a collisionless plasma can be written in Hamiltonian form relative to a certain Poisson bracket. We derive another very similar Poisson structure for these equations using co-adjoint orbits for the group of canonical transformations and the electromagnetic field regarded as a gauge theory. Our construction shows canonical variables can be found and can be extended to Yang-Mills gauge theories.
Research Organization:
California Univ., Berkeley (USA). Center for Pure and Applied Mathematics
OSTI ID:
5909419
Report Number(s):
AD-A-097412/1
Country of Publication:
United States
Language:
English

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Related Subjects

658000* -- Mathematical Physics-- (-1987)
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105 -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
CANONICAL TRANSFORMATIONS
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
HAMILTONIAN FUNCTION
INVARIANCE PRINCIPLES
MAXWELL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POISSON EQUATION
TRANSFORMATIONS