18 citations · 20 across the 5 of their papers we have counts for
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Covariant Hamiltonian formalism for the calculus of variations with several variables: Lepage--Dedecker versus de Donder--Weyl
Frederic Helein, Joseph Kouneiher
The main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pic…
The notion of observable in the covariant Hamiltonian formalism for the calculus of variations with several variables
Frederic Helein, Joseph Kouneiher
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 -fo…
Hamiltonian formalisms for multidimensional calculus of variations and perturbation theory
Frederic Helein
In a first part we propose an introduction to multisymplectic formalisms, which are generalisations of Hamilton's formulation of Mechanics to the calculus of variations with severa…
Covariant Hamiltonian formalism for the calculus of variations with several variables
Frédéric Hélein, Joseph Kouneiher
The main purpose in the present paper is to build a Hamiltonian theory for fields which is consistent with the principles of relativity. For this we consider detailed geometric pic…
Hamiltonian formalism with several variables and quantum field theory, PartI
Frederic Helein, Joseph Kouneiher
We discuss in this paper the canonical structure of classical field theory in finite dimensions within the {\it{pataplectic}} hamiltonian formulation, where we put forward the role…