Moyal dynamics of constraint systems
High Energy Physics - Theory
2013-12-17 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Quantization of constraint systems within the Weyl-Wigner-Groenewold-Moyal framework is discussed. Constraint dynamics of classical and quantum systems is reformulated using the skew-gradient projection formalism. The quantum deformation of the Dirac bracket is generalized to match smoothly the classical Dirac bracket in and outside of the constraint submanifold in the limit .
Cite
@article{arxiv.hep-th/0610074,
title = {Moyal dynamics of constraint systems},
author = {M. I. Krivoruchenko},
journal= {arXiv preprint arXiv:hep-th/0610074},
year = {2013}
}
Comments
REVTeX 8 pages, 2 eps figures. Presented at the XIII Annual Seminar "Nonlinear Phenomena in Complex Systems: Chaos, Fractals, Phase Transitions, Self-organization", Minsk, Belarus, May 16-19, 2006