Dirac bracket and time dependent constraints

Nuno Barros e S\'a

Dirac bracket and time dependent constraints

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arxiv 2302.10966 v2 pith:NPBJV5QY submitted 2023-02-21 gr-qc math-phmath.MPquant-ph

Nuno Barros e Sá This is my paper · ORCID

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keywords bracketconstraintsdiractime-dependentconditionsconstraineddependentderivation

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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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