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math-ph2023
The relation between the canonical Hamilton-Jacobi equation and the covariant Hamilton-Jacobi equation for Maxwell's electrodynamics
Monika E. Pietrzyk, Cécile Barbachoux, Joseph Kouneiher
The aim of this paper is to understand the relation between the canonical Hamilton-Jacobi equation for Maxwell's electrodynamics, which is an equation with variational derivatives…
math-ph2022★ 1 cited
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
Monika E. Pietrzyk, Cécile Barbachoux, Igor V. Kanatchikov +1
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-W…