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- W4297801943 abstract "We consider Feynman-Dyson's proof of Maxwell's equations using the Jacobi identities on the velocity phase space. In this paper we generalize the Feynman-Dyson's scheme by incorporating the non-commutativity between various spatial coordinates along with the velocity coordinates. This allows us to study a generalized class of Hamiltonian systems. We explore various dynamical flows associated to the Souriau form associated to this generalized Feynman-Dyson's scheme. Moreover, using the Souriau form we show that these new classes of generalized systems are volume preserving mechanical systems." @default.
- W4297801943 created "2022-10-01" @default.
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- W4297801943 date "2015-01-20" @default.
- W4297801943 modified "2023-09-25" @default.
- W4297801943 title "Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism" @default.
- W4297801943 doi "https://doi.org/10.48550/arxiv.1501.04917" @default.
- W4297801943 hasPublicationYear "2015" @default.
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