Dirac bracket and time dependent constraints

Fuente: arXiv
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Main Author: Sá, Nuno Barros e
Format: Preprint
Published: 2023
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author Sá, Nuno Barros e
author_facet Sá, Nuno Barros e
contents We provide a simultaneous derivation of the Dirac bracket and of the equations of motion for second-class constrained systems when the constraints are time-dependent. The necessity of time-dependent gauge-fixing conditions is shown in the example of parameterized mechanics and is illustrated geometrically.
format Preprint
id arxiv_https___arxiv_org_abs_2302_10966
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Dirac bracket and time dependent constraints
Sá, Nuno Barros e
General Relativity and Quantum Cosmology
Mathematical Physics
Quantum Physics
We provide a simultaneous derivation of the Dirac bracket and of the equations of motion for second-class constrained systems when the constraints are time-dependent. The necessity of time-dependent gauge-fixing conditions is shown in the example of parameterized mechanics and is illustrated geometrically.
title Dirac bracket and time dependent constraints
topic General Relativity and Quantum Cosmology
Mathematical Physics
Quantum Physics
url https://arxiv.org/abs/2302.10966