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Poisson–Poincaré reduction for field theories
dc.contributor.author | Berbel López, Miguel Ángel | es-ES |
dc.contributor.author | Castrillón López, Marco | es-ES |
dc.date.accessioned | 2023-07-06T06:56:45Z | |
dc.date.available | 2023-07-06T06:56:45Z | |
dc.date.issued | 2023-09-01 | es_ES |
dc.identifier.issn | 0393-0440 | es_ES |
dc.identifier.uri | https://doi.org/10.1016/j.geomphys.2023.104879 | es_ES |
dc.description | Artículos en revistas | es_ES |
dc.description.abstract | . | es-ES |
dc.description.abstract | 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. | en-GB |
dc.format.mimetype | application/pdf | es_ES |
dc.language.iso | en-GB | es_ES |
dc.rights | es_ES | |
dc.rights.uri | es_ES | |
dc.source | Revista: Journal of Geometry and Physics, Periodo: 1, Volumen: 191, Número: 104879, Página inicial: en línea, Página final: en línez | es_ES |
dc.title | Poisson–Poincaré reduction for field theories | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.description.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.rights.holder | La revista no permite depósito en abierto | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | es_ES |
dc.keywords | . | es-ES |
dc.keywords | Field theorySymmetriesCovariant bracketPolysymplecticMultisymplecticPoisson–Poincaré | en-GB |
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