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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Published in:Journal of mathematical physics 1988-02, Vol.29 (2), p.362-364
Main Author: Ruggeri, G. J.
Format: Article
Language:English
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Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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description 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.
doi_str_mv 10.1063/1.528076
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source AIP_美国物理联合会期刊回溯（NSTL购买）
subjects Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
title Dirac bracket revisited
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