The difficulty of symplectic analysis with second class systems

Using the basic concepts of the chain by chain method we show that the symplectic analysis, which was claimed to be equivalent to the usual Dirac method, fails when second class constraints are present. We propose a modification in symplectic analysis that solves the problem.

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Bibliographic Details
Published in:Journal of mathematical physics 2005-01, Vol.46 (1), p.012702-012702-12
Main Authors: Shirzad, A., Mojiri, M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Summary:Using the basic concepts of the chain by chain method we show that the symplectic analysis, which was claimed to be equivalent to the usual Dirac method, fails when second class constraints are present. We propose a modification in symplectic analysis that solves the problem.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1828588