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Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism by Cariñena, José F.; Figueroa, Héctor; Guha, Partha is a scholarly article available to read on EtoBox.

What is Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism about?

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.

Author

Cariñena, José F.; Figueroa, Héctor; Guha, Partha

Published

2015

Language

EN