On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction

On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction

The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplectic reduction.

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Veröffentlicht in:arXiv.org 2022-12
Hauptverfasser: Pietrzyk, Monika E, Barbachoux, Cécile, Kanatchikov, Igor V, Kouneiher, Joseph
Format: Artikel
Sprache:eng
Schlagworte:
Hamilton-Jacobi equation
Mathematical analysis
Maxwell's equations
Reduction
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Zusammenfassung:The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-Weyl covariant Hamiltonian formalism and the corresponding polysymplectic reduction.
ISSN:2331-8422