2004/01/27 by Frederic Helein, Joseph Kouneiher · 1 citation
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.MP
published as Adv.Theor.Math.Phys. 8 (2004) 735-777 · 36 pages, 3 figures
arxiv created 2004/01/27 · arxiv updated 2009/12/01
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.