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Quantum deformation of the Dirac bracket

Journal Article · · Physical Review. D, Particles Fields
DOI:https://doi.org/10.1103/PHYSREVD.73.0· OSTI ID:20795752
 [1];  [2];  [2]
  1. Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow (Russian Federation)
  2. Institut fuer Theoretische Physik, Tuebingen Universitaet, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)
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.
OSTI ID:
20795752
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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