Dirac bracket revisited

Among all possible singular (Lie) brackets in classical dynamics of discrete systems, the matrix of Dirac brackets between phase‐space coordinates is uniquely characterized by having the symplectic (Lagrange) matrix as a generalized inverse. This result is used to prove an explicit representation of...

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Bibliographic Details
Published in:Journal of mathematical physics 1988-02, Vol.29 (2), p.362-364
Main Author: Ruggeri, G. J.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Summary:Among all possible singular (Lie) brackets in classical dynamics of discrete systems, the matrix of Dirac brackets between phase‐space coordinates is uniquely characterized by having the symplectic (Lagrange) matrix as a generalized inverse. This result is used to prove an explicit representation of the Dirac bracket in terms of its singular functions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.528076