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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages,Latex,misprints corrected, references added, the material on the connection between the Dirac bracket and star-product

Scientific paper

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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