Comments on generalized hamiltonian dynamics
19734 pages
Published in:
- Phys.Rev.D 8 (1973) 2740-2743
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Abstract: (APS)
A reasonable generalization of Hamiltonian theory to 3m-dimensional phase space suggests a geometrical structure giving the proper characteristic vector field. This structure, however, has only a single integral invariant, and implies no sensible generalization of either Poisson-bracket formalism, or Hamilton-Jacobi theory. Associated statistical mechanics and quantization are unlikely. The algebraic source of the difficulty is the lack of understanding of canonical expressions and classes of closed 3-forms.- mechanics
- quantum mechanics
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