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Realization of the Dirac bracket algebras through first class functions and quantization of constrained systems

A. V. Bratchikov

hep-tharXiv:hep-th/0204019

Abstract

It is shown that a Dirac bracket algebra is isomorphic to the original Poisson bracket algebra of first class functions subject to first class constraints. The isomorphic image of the Dirac bracket algebra in the star-product commutator algebra is found.

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