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VOL. 7 | 2006 Extended Hamiltonian Formalism of Field Theories: Variational Aspects and Other Topics
Arturo Echeverría-Enríquez, Manuel de León, Miguel C. Muñoz-Lecanda, Narciso Román-Roy

Editor(s) Ivaïlo M. Mladenov, Manuel de León

Abstract

We consider Hamiltonian systems in first-order multisymplectic field theories. In particular, we introduce Hamiltonian systems in the extended multimomentum bundle. The resulting extended Hamiltonian formalism is the generalization to field theories of the extended (symplectic) formalism for non-autonomous mechanical systems. In order to derive the corresponding field equations, a variational principle is stated for these extended Hamiltonian systems and, after studying the geometric properties of these systems, we establish the relation between this extended formalism and the standard one.

Information

Published: 1 January 2006
First available in Project Euclid: 13 July 2015

zbMATH: 1210.70025
MathSciNet: MR2228367

Digital Object Identifier: 10.7546/giq-7-2006-116-127

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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