Dirac's formalism for time-dependent Hamiltonian systems in the extended phase space
Mathematical Physics
2021-04-27 v3 math.MP
Classical Physics
Quantum Physics
Abstract
The Dirac's formalism for constrained systems is applied to the analysis of time-dependent Hamiltonians in the extended phase space. We show that the Lewis invariant is a reparametrization invariant and we calculate the Feynman propagator using the extended phase description. We show that the quantum phase of the Feynman propagator is given by the boundary term of the canonical transformation of the extended phase space.
Keywords
Cite
@article{arxiv.1701.07120,
title = {Dirac's formalism for time-dependent Hamiltonian systems in the extended phase space},
author = {Angel Garcia-Chung and Daniel Gutiérrez Ruiz and J. David Vergara},
journal= {arXiv preprint arXiv:1701.07120},
year = {2021}
}
Comments
16 pages