The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables

Details The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables

2004-01-27

arxiv.org/abs/math-ph/0401047v1

Adv.Theor.Math.Phys. 8 (2004) 735-777

Physics

Mathematical Physics

36 pages, 3 figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-588133