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math-ph2021
A Hamiltonian model for the macroscopic Maxwell equations using exterior calculus
William Barham, Philip J. Morrison, Eric Sonnendrücker
A Hamiltonian field theory for the macroscopic Maxwell equations with fully general polarization and magnetization is stated in the language of differential forms. The precise proc…
math-ph2021★ 4 cited
Clebsch Canonization of Lie-Poisson Systems
Buddhika Jayawardana, Philip J. Morrison, Tomoki Ohsawa
We propose a systematic procedure called the Clebsch canonization for obtaining a canonical Hamiltonian system that is related to a given Lie-Poisson equation via a momentum map. W…