Quantum deformation of the Dirac bracket

M. I. Krivoruchenko, A. A. Raduta, and Amand Faessler
Phys. Rev. D 73, 025008 – Published 17 January 2006; Erratum Phys. Rev. D 73, 029905 (2006)

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.

  • Received 6 July 2005
  • Publisher error corrected 19 January 2006

DOI:https://doi.org/10.1103/PhysRevD.73.025008

©2006 American Physical Society

Corrections

19 January 2006

Erratum

Publisher’s Note: Quantum deformation of the Dirac bracket [Phys. Rev. D 73, 025008 (2006)]

M. I. Krivoruchenko, A. A. Raduta, and Amand Faessler
Phys. Rev. D 73, 029905 (2006)

Authors & Affiliations

M. I. Krivoruchenko1,2, A. A. Raduta2,3,4, and Amand Faessler2

  • 1Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow, Russia
  • 2Institut für Theoretische Physik, Tübingen Universität, Auf der Morgenstelle 14, D-72076 Tübingen, Germany
  • 3Department of Theoretical Physics and Mathematics, Bucharest University, P.O. Box MG11, Bucharest, Romania
  • 4Institute of Physics and Nuclear Engineering, P.O. Box MG06, Bucharest, Romania

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Issue

Vol. 73, Iss. 2 — 15 January 2006

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