A Geometrical Approach to Time-Dependent Gauge-Fixing

Abstract

When a Hamiltonian system is subject to constraints which depend explicitly on time, difficulties can arise in attempting to reduce the system to its physical phase space. Specifically, it is non-trivial to restrict the system in such a way that one can find a Hamiltonian time-evolution equation involving the Dirac bracket. Using a geometrical formulation, we derive an explicit condition which is both necessary and sufficient for this to be possible, and we give a formula defining the resulting Hamiltonian function. Some previous results are recovered as special cases.

15 pages, OUTP-92-11P

Cited by in corpus (10)

• Quantization of Point-Like Particles and Consistent Relativistic Quantum Mechanics
• Geometrical description and Faddeev-Jackiw quantization of electrical networks
• Lambda Models From Chern-Simons Theories
• Quantization of the Reduced Phase Space of Two-Dimensional Dilaton Gravity
• Giant Magnons of String Theory in the Lambda Background
• Covariant Momentum Map Thermodynamics for Parametrized Field Theories
• Solving Gauss' Laws and Searching Dirac Observables for the Four Interactions
• Deformation Quantization of Relativistic Particles in Electromagnetic Fields
• Dirac bracket and time dependent constraints
• BRST-co-BRST Quantization of Reparametrization Invariant Theories