Generalized Hamiltonian Dynamics

Yoichiro Nambu
Phys. Rev. D 7, 2405 – Published 15 April 1973
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Abstract

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.

  • Received 26 December 1972

DOI:https://doi.org/10.1103/PhysRevD.7.2405

©1973 American Physical Society

Authors & Affiliations

Yoichiro Nambu

  • The Enrico Fermi Institute and the Department of Physics, The University of Chicago, Chicago, Illinois 60637

Comments & Replies

Remarks concerning Nambu's generalized mechanics

F. Bayen and M. Flato
Phys. Rev. D 11, 3049 (1975)

Comments on Generalized Hamiltonian Dynamics

Frank B. Estabrook
Phys. Rev. D 8, 2740 (1973)

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Vol. 7, Iss. 8 — 15 April 1973

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