RT Journal Article
T1 Poisson–Poincaré reduction for Field Theories
A1 Berbel, M. A.
A1 Castrillón López, Marco
AB 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.
YR 2022
FD 2022-10-27
LK https://hdl.handle.net/20.500.14352/72668
UL https://hdl.handle.net/20.500.14352/72668
LA eng
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NO Ministerio de Ciencia e Innovación (MICINN)
NO Ministerio de Universidades
DS Docta Complutense
RD 11 dic 2023