Moyal dynamics of constraint systems

Details Moyal dynamics of constraint systems Moyal dynamics of constraint systems

2006-10-06

arxiv.org/abs/hep-th/0610074v1

Physics

High Energy Physics

High Energy Physics - Theory

REVTeX 8 pages, 2 eps figures. Presented at the XIII Annual Seminar "Nonlinear Phenomena in Complex Systems: Chaos, Fractals,

Scientific paper

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 $\hbar \to 0$.

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