2023-12-11T13:45:35Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/726682023-08-25T23:30:37Zcom_20.500.14352_14col_20.500.14352_15
00925njm 22002777a 4500
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Berbel, M. A.
author
Castrillón López, Marco
author
2022-10-27
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–Poincaré reduction for field theories. This procedure is related to the Lagrange–Poincaré 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.
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https://hdl.handle.net/20.500.14352/72668
Poisson–Poincaré reduction for Field Theories