Moyal dynamics of constraint systems

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 $\hslash \to 0$.

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

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