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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Hauptverfasser: Pietrzyk, Monika E, Barbachoux, Cécile, Kanatchikov, Igor V, Kouneiher, Joseph
Format: Artikel
Sprache:eng
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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.
DOI:10.48550/arxiv.2212.14845