2006, Vol.13, pp.94-105

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 .
Key words: Weyl-Wigner-Groenewold-Moyal quantization, constraint dynamics, skew-gradient projection formalism, quantum deformation

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