Covariant Jacobi Brackets for Test Particles
Mathematical Physics
2017-07-11 v1 math.MP
Abstract
We show that the space of observables of test particles carries a natural Jacobi structure which is manifestly invariant under the action of the Poincar\'{e} group. Poisson algebras may be obtained by imposing further requirements. A generalization of Peierls procedure is used to extend this Jacobi bracket on the space of time-like geodesics on Minkowski space-time.
Cite
@article{arxiv.1706.02865,
title = {Covariant Jacobi Brackets for Test Particles},
author = {Manuel Asorey and Florio M. Ciaglia and Fabio Di Cosmo and Alberto Ibort and Giuseppe Marmo},
journal= {arXiv preprint arXiv:1706.02865},
year = {2017}
}
Comments
13 pages Submitted to MPLA