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arXiv · hep-th/0412286

Realizations of observables in Hamiltonian systems with first class constraints

A. V. Bratchikov
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Abstract

In a Hamiltonian system with first class constraints observables can be defined as elements of a quotient Poisson bracket algebra. In the gauge fixing method observables form a quotient Dirac bracket algebra. We show that these two algebras are isomorphic. A new realization of the observable algebras through the original Poisson bracket is found. Generators, brackets and pointwise products of the algebras under consideration are calculated.

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A. V. Bratchikov. 2005-04-23. Realizations of observables in Hamiltonian systems with first class constraints. https://doi.org/10.1142/s0219887807002168

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