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Title: Local conservation laws for the Maxwell-Vlasov and collisionless kinetic guiding-center theories

Abstract

With use of a recent variational formulation of the Maxwell-Vlasov and guiding-center theories (D. Pfirsch, Z. Naturforsch. A 39, 1 (1984)), 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.

Authors:
;
Publication Date:
Research Org.:
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712
OSTI Identifier:
5345716
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 32:3
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; PARTICLE KINEMATICS; CONSERVATION LAWS; GAUGE INVARIANCE; GUIDING-CENTER APPROXIMATION; MAXWELL EQUATIONS; VARIATIONAL METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; INVARIANCE PRINCIPLES; PARTIAL DIFFERENTIAL EQUATIONS; 657001* - Theoretical Physics- General & Miscellaneous- (-1987)

Citation Formats

Pfirsch, D, and Morrison, P J. Local conservation laws for the Maxwell-Vlasov and collisionless kinetic guiding-center theories. United States: N. p., 1985. Web. doi:10.1103/PhysRevA.32.1714.
Pfirsch, D, & Morrison, P J. Local conservation laws for the Maxwell-Vlasov and collisionless kinetic guiding-center theories. United States. doi:10.1103/PhysRevA.32.1714.
Pfirsch, D, and Morrison, P J. Sun . "Local conservation laws for the Maxwell-Vlasov and collisionless kinetic guiding-center theories". United States. doi:10.1103/PhysRevA.32.1714.
@article{osti_5345716,
title = {Local conservation laws for the Maxwell-Vlasov and collisionless kinetic guiding-center theories},
author = {Pfirsch, D and Morrison, P J},
abstractNote = {With use of a recent variational formulation of the Maxwell-Vlasov and guiding-center theories (D. Pfirsch, Z. Naturforsch. A 39, 1 (1984)), 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.},
doi = {10.1103/PhysRevA.32.1714},
journal = {Phys. Rev. A; (United States)},
number = ,
volume = 32:3,
place = {United States},
year = {1985},
month = {9}
}