The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
| dc.creator | Helein, Frederic | |
| dc.creator | Kouneiher, Joseph | |
| dc.date | 2004-01-27 | |
| dc.date.accessioned | 2026-07-07T04:30:53Z | |
| dc.date.available | 2026-07-07T04:30:53Z | |
| dc.description | This papers is concerned with multisymplectic formalisms which are the frameworks for Hamiltonian theories for fields theory. Our main purpose is to study the observable $(n-1)$-forms which allows one to construct observable functionals on the set of solutions of the Hamilton equations by integration. We develop here two different points of view: generalizing the law $\{p,q\} = 1$ or the law $dF/dt = \{H,F\}$. This leads to two possible definitions; we explore the relationships and the differences between these two concepts. We show that -- in contrast with the de Donder--Weyl theory -- the two definitions coincides in the Lepage--Dedecker theory. | |
| dc.description | 36 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0401047 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0401047 | |
| dc.identifier | Adv.Theor.Math.Phys. 8 (2004) 735-777 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57629 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables | |
| dc.type | text |