Realization of the Dirac bracket algebras through first class functions and quantization of constrained systems
High Energy Physics - Theory
2007-05-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.hep-th/0204019,
title = {Realization of the Dirac bracket algebras through first class functions and quantization of constrained systems},
author = {A. V. Bratchikov},
journal= {arXiv preprint arXiv:hep-th/0204019},
year = {2007}
}
Comments
7 pages,Latex,misprints corrected, references added, the material on the connection between the Dirac bracket and star-product commutator algebras is added