Generalized Hamiltonian dynamics
19739 pages
Published in:
- Phys.Rev.D 7 (1973) 2405-2412
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Abstract: (APS)
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.Note:
- In *Eguchi, T. (ed.), Nishijima, K. (ed.): Broken symmetry*
- mechanics: classical
- Hamiltonian formalism
- quantization
- phase space
- algebra: Lie
- commutation relations
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