Gauge-Free Hamiltonian Structure of the Spin Maxwell-Vlasov Equations

TL;DR

This paper derives a gauge-free Hamiltonian framework for a semi-classical kinetic theory incorporating particle spin, relevant for strongly magnetized plasma systems, by constructing generalized brackets in extended phase space.

Contribution

It introduces a novel gauge-free Hamiltonian structure for spin-inclusive kinetic theory, expanding the mathematical tools for plasma physics modeling.

Findings

Constructed generalized brackets for extended phase space

Demonstrated the gauge-free Hamiltonian structure

Applicable to strongly magnetized plasma systems

Abstract

We derive the gauge-free Hamiltonian structure of an extended kinetic theory, for which the intrinsic spin of the particles is taken into account. Such a semi-classical theory can be of interest for describing, e.g., strongly magnetized plasma systems. We find that it is possible to construct generalized brackets for the extended phase space, and discuss the implications of our findings.