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http://hdl.handle.net/11531/79964| Título : | Poisson–Poincaré reduction for field theories |
| Autor : | Berbel López, Miguel Ángel Castrillón López, Marco |
| Fecha de publicación : | 1-sep-2023 |
| Resumen : | . 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. |
| Descripción : | Artículos en revistas |
| URI : | https://doi.org/10.1016/j.geomphys.2023.104879 |
| ISSN : | 0393-0440 |
| Aparece en las colecciones: | Artículos |
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| Fichero | Tamaño | Formato | |
|---|---|---|---|
| 1-s2.0-S0393044023001316-main.pdf | 543,66 kB | Adobe PDF | Visualizar/Abrir Request a copy |
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