Local Conservation Laws for the Maxwell-Vlasov and Collisionless Kinetic Guiding Center Theories

摘要

Using one of the author's recent variational formulation of the Maxwell-Vlasov and guiding center theories, the energy-momentum and angular momentum tensors for such theories are derived and the corresponding local conservation laws are proven. The energy-momentum tensor is shown to be symmetric in its spatial components while the angular momentum density is naturally antisymmetric. (ERA citation 10:032888)