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Zbl 1027.70503
Nambu, Yoiciro
Generalized Hamiltonian dynamics. (English)
[J] Phys. Rev. D(3) 7, 2405-2412 (1973).

Summary: 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 his form suggests the potential usefulness of this formalism. In this article we study its general properties and the problem of quantization.

MSC 2000:: *70H99 Hamiltonian and Lagrangian mechanics
70H45 Constrained dynamics, Dirac's theory of constraints
70G45 Differential-geometric methods

Cited in: Zbl 1131.17001 Zbl 1109.92050 Zbl 1051.70009

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