Covariant description of parametrized nonrelativistic Hamiltonian systems

Details Covariant description of parametrized nonrelativistic Hamiltonian systems Covariant description of parametrized nonrelativistic Hamiltonian systems

2003-12-08

arxiv.org/abs/gr-qc/0312048v3

Int.J.Mod.Phys. A19 (2004) 2473-2493

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, latex file. corrected typos, minor changes done to match published version

Scientific paper

10.1142/S0217751X04018063

The various phase spaces involved in the dynamics of parametrized nonrelativistic Hamiltonian systems are displayed by using Crnkovic and Witten's covariant canonical formalism. It is also pointed out that in Dirac's canonical formalism there exists a freedom in the choice of the symplectic structure on the extended phase space and in the choice of the equations that define the constraint surface with the only restriction that these two choices combine in such a way that any pair (of these two choices) generates the same gauge transformation. The consequence of this freedom on the algebra of observables is also discussed.

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