Phys. Rev. D 7, 2405–2412 (1973)Generalized Hamiltonian DynamicsReceived 26 December 1972; published in the issue dated 15 April 1973 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. © 1973 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.7.2405
DOI:
10.1103/PhysRevD.7.2405
PACS:
See AlsoComment: F. Bayen and M. Flato, Remarks concerning Nambu's generalized mechanics, Phys. Rev. D 11, 3049 (1975). Comment: Frank B. Estabrook, Comments on Generalized Hamiltonian Dynamics, Phys. Rev. D 8, 2740 (1973). |
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