First Order Actions: a New View
M. C. Bertin, B. M. Pimentel, P. J. Pompeia
TL;DR
This paper explores the analysis of systems with first order actions through the Hamilton-Jacobi formalism, revealing a natural emergence of generalized brackets and a symplectic structure in phase space.
Contribution
It demonstrates the natural appearance of generalized brackets and symplectic structures in the Hamilton-Jacobi analysis of first order action systems.
Findings
Generalized brackets appear naturally in HJ formalism
Existence of a symplectic structure in phase space
Insights into singular systems analysis
Abstract
We analyse systems described by first order actions using the Hamilton-Jacobi (HJ) formalism for singular systems. In this study we verify that generalized brackets appear in a natural way in HJ approach, showing us the existence of a symplectic structure in the phase spaces of this formalism.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.