Covariant Variational Evolution and Jacobi Brackets: Particles
Mathematical Physics
2020-05-19 v1 math.MP
Quantum Physics
Abstract
The formulation of covariant brackets on the space of solutions to a variational problem is analyzed in the framework of contact geometry. It is argued that the Poisson algebra on the space of functionals on fields should be read as a Poisson subalgebra within an algebra of functions equipped with a Jacobi bracket on a suitable contact manifold.
Cite
@article{arxiv.2005.04872,
title = {Covariant Variational Evolution and Jacobi Brackets: Particles},
author = {Florio M. Ciaglia and Fabio Di Cosmo and Alberto Ibort and Giuseppe Marmo and Luca Schiavone},
journal= {arXiv preprint arXiv:2005.04872},
year = {2020}
}
Comments
16 pages