Symmetries and Reduction -- part I -- Poisson and symplectic picture
Mathematical Physics
2021-08-13 v2 High Energy Physics - Theory
math.MP
Symplectic Geometry
Abstract
Coherently with the principle of analogy suggested by Dirac, we describe a general setting for reducing a classical dynamics, and the role of the Noether theorem -- connecting symmetries with constants of the motion -- within a reduction. This is the first of two papers, and it focuses on the reduction within the Poisson and the symplectic formalism.
Keywords
Cite
@article{arxiv.2006.03380,
title = {Symmetries and Reduction -- part I -- Poisson and symplectic picture},
author = {Giuseppe Marmo and Luca Schiavone and Alessandro Zampini},
journal= {arXiv preprint arXiv:2006.03380},
year = {2021}
}
Comments
50 pages, revised version