The Hamiltonian Structure of the Maxwell-Vlasov Equations.
Abstract
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. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1981
- Accession Number
- ADA097412
Entities
People
- Alan Weinstein
- Jerrold E. Marsden
Organizations
- University of California, Berkeley