alexa Generalized Hamiltonian Dynamics
Mathematics

Mathematics

Journal of Generalized Lie Theory and Applications

Author(s): Yoichiro Nambu

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Taking the Liouville theorem as a guiding principle, we propose a possible generalization of classical Hamiltonian dynamics to a three-dimensional phase space. The equation of motion involves two Hamiltonians and three canonical variables. The fact that the Euler equations for a rotator can be cast into this form suggests the potential usefulness of the formalism. In this article we study its general properties and the problem of quantization.

This article was published in Physical Review D and referenced in Journal of Generalized Lie Theory and Applications

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