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New results on systems with second-class constraints

Mitra, P and Rajaraman, R (1990) New results on systems with second-class constraints. In: Annals of Physics, 203 (1). pp. 137-156.

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Official URL: http://dx.doi.org/10.1016/0003-4916(90)90030-R


We show how, for large classes of systems with purely second-class constraints, further information can be obtained about the constraint algebra. In particular, a subset consisting of half the full set of constraints is shown to have vanishing mutual brackets. Some other constraint brackets are also shown to be zero. The class of systems for which our results hold includes examples from non-relativistic particle mechanics as well as relativistic field theory. The results are derived at the classical level for Poisson brackets, but in the absence of commutator anomalies the same results will hold for the commutators of the constraint operators in the corresponding quantised theories.

Item Type: Journal Article
Publication: Annals of Physics
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 27 Apr 2011 05:11
Last Modified: 27 Apr 2011 05:11
URI: http://eprints.iisc.ac.in/id/eprint/35027

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