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Hamiltonian Systems in Multisymplectic Field Theories
dc.contributor.author | Echeverría Enríquez, Arturo |
dc.contributor.author | León, Manuel de |
dc.contributor.author | Muñoz Lecanda, Miguel Carlos |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2006-05-24T17:43:00Z |
dc.date.available | 2006-05-24T17:43:00Z |
dc.date.issued | 2005-06-20 |
dc.identifier.uri | http://hdl.handle.net/2117/399 |
dc.description.abstract | We consider Hamiltonian systems in first-order multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the so-called restricted multimomentum bundle using Hamiltonian sections, including the variational principle which leads to the Hamiltonian field equations. Then, we introduce Hamiltonian systems in the extended multimomentum bundle, in an analogous way to how these systems are defined in non-autonomous (symplectic) mechanics or in the so-called extended (symplectic) formulation of autonomous mechanics. The corresponding variational principle is also stated for these extended Hamiltonian systems and, after studying the geometric properties of these systems, we establish the relation between the extended and the restricted ones. These definitions and properties are also adapted to submanifolds of the multimomentum bundles in order to cover the case of almost-regular field theories. |
dc.format.extent | 35 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Differential geometry |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.other | First order Field Theories |
dc.subject.other | Hamiltonian systems |
dc.subject.other | Fiber bundles |
dc.subject.other | Multisymplectic manifolds |
dc.title | Hamiltonian Systems in Multisymplectic Field Theories |
dc.type | Article |
dc.subject.lemac | Geometria diferencial |
dc.subject.lemac | Hamilton, Sistemes de |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems {For relativistic mechanics, see 83A05 and 83C10; for statistical mechanics, see 82-xx}::70S Classical field theories [See also 37Kxx, 37Lxx, 78-xx, 81Txx, 83-xx] |
dc.subject.ams | Classificació AMS::55 Algebraic topology::55R Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] |
dc.subject.ams | Classificació AMS::53 Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}::53C Global differential geometry [See also 51H25, 58-xx; for related bundle theory, see 55Rxx, 57Rxx] |
dc.rights.access | Open Access |
dc.relation.projectidctt | MTM2005-04947 |
local.personalitzacitacio | true |
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