A general theory for gauge-free lifting

A theory for lifting equations of motion for charged particle dynamics, subject to given electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov-Maxwell like equations is given. The theory provides very general expressions for the polarization and magnetization vector fi...

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Bibliographic Details
Published inPhysics of plasmas Vol. 20; no. 1
Main Author Morrison, P. J.
Format Journal Article
LanguageEnglish
Published United States 01.01.2013
Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
CHARGED PARTICLES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Dynamical systems
Dynamics
ELECTROMAGNETIC RADIATION
EQUATIONS OF MOTION
FIELD THEORIES
HAMILTONIANS
Hoisting
Inclusions
MAGNETIC MONOPOLES
MAGNETIZATION
Mathematical analysis
PLASMA
Plasmas
POLARIZATION
SPIN
VECTOR FIELDS
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Summary:A theory for lifting equations of motion for charged particle dynamics, subject to given electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov-Maxwell like equations is given. The theory provides very general expressions for the polarization and magnetization vector fields in terms of the particle dynamics description of matter. Thus, as is common in plasma physics, the particle dynamics replaces conventional constitutive relations for matter. Several examples are considered including the usual Vlasov-Maxwell theory, a guiding center kinetic theory, Vlasov-Maxwell theory with the inclusion of spin, and a Vlasov-Maxwell theory with the inclusion of Dirac's magnetic monopoles. All are shown to be Hamiltonian field theories and the Jacobi identity is proven directly.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4774063