Quantum deformation of the Dirac bracket
classification
✦ hep-th
hep-phmath-phmath.DSmath.MPnucl-thquant-ph
keywords
bracketdeformationquantumsystemsdiracmoyaladmitbasis
read the original 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.
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