Dirac Brackets and Time-Dependent Constraints

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.

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Publication Details

Journal
Universe
Published
2025-07-16
DOI
https://doi.org/10.3390/universe11070233
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Dirac Brackets and Time-Dependent Constraints

Nuno Barros e Sá
Universe
Noncommutative and Quantum Gravity Theories
article

Dirac Brackets and Time-Dependent Constraints

Nuno Barros e Sá
article en

Abstract

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.

UniverseVol. 11(7)
Universidade dos Açores (PT), Institute of Astrophysics and Space Sciences (PT)
Openalex Percentile: Top 86%
Noncommutative and Quantum Gravity Theories
DOIOpen Access PDFOpenAlex
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Dirac Brackets and Time-Dependent Constraints — Nuno Barros e Sá · Universe (2025) | TGRS Research Map | TGRS