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

2002/04/30 by A. V. Bratchikov
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP

paper · pdf

published as Lett.Math.Phys. 61 (2002) 107-111 · 7 pages,Latex,misprints corrected, references added, the material on the connection between the Dirac bracket and star-product commutator algebras is added

arxiv created 2002/06/07 · arxiv updated 2009/11/30

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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