Poisson–Poincaré reduction for Field Theories

Autor:	Berbel, Miguel Á., López, Marco Castrillón
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry General Physics and Astronomy Geometry and Topology 70S05 (Primary) 70S10 58D19 70G45 (Secondary) Mathematical Physics
Zdroj:	Journal of Geometry and Physics. :104879
ISSN:	0393-0440
DOI:	10.1016/j.geomphys.2023.104879
Popis:	Given a Hamiltonian system on a fiber bundle, there is a Poisson covariant formulation of the Hamilton equations. When a Lie group G acts freely, properly, preserving the fibers of the bundle and the Hamiltonian density is G-invariant, we study the reduction of this formulation to obtain an analogue of Poisson-Poincar\'e reduction for field theories. This procedure is related to the Lagrange-Poincar\'e reduction for field theories via a Legendre transformation. Finally, an application to a model of a charged strand evolving in an electric field is given. Comment: 34 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f2103d9e85397e76748f70dce6ce8607 https://doi.org/10.1016/j.geomphys.2023.104879 Zobrazit plný text záznamu Full Text from ScienceDirect