Quantum deformation of the Dirac bracket
High Energy Physics - Theory
2009-11-11 v2 High Energy Physics - Phenomenology
Mathematical Physics
Dynamical Systems
math.MP
Nuclear Theory
Quantum Physics
Abstract
The quantum deformation of the Poisson bracket is the Moyal bracket. We construct quantum deformation of the Dirac bracket for systems which admit global symplectic basis for constraint functions. Equivalently, it can be considered as an extension of the Moyal bracket to second-class constraints systems and to gauge-invariant systems which become second class when gauge-fixing conditions are imposed.
Cite
@article{arxiv.hep-th/0507049,
title = {Quantum deformation of the Dirac bracket},
author = {M. I. Krivoruchenko and A. A. Raduta and Amand Faessler},
journal= {arXiv preprint arXiv:hep-th/0507049},
year = {2009}
}
Comments
18 pages, REVTeX