Dirac bracket and time dependent constraints
General Relativity and Quantum Cosmology
2025-08-20 v2 Mathematical Physics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2302.10966,
title = {Dirac bracket and time dependent constraints},
author = {Nuno Barros e Sá},
journal= {arXiv preprint arXiv:2302.10966},
year = {2025}
}
Comments
12 pages, 1 figure