46 citations · 66 across the 11 of their papers we have counts for
11 papers
The relation between the canonical Hamilton-Jacobi equation and the covariant Hamilton-Jacobi equation for Maxwell's electrodynamics
Monika E. Pietrzyk, Cécile Barbachoux, Joseph Kouneiher
The aim of this paper is to understand the relation between the canonical Hamilton-Jacobi equation for Maxwell's electrodynamics, which is an equation with variational derivatives…
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
Monika E. Pietrzyk, Cécile Barbachoux, Igor V. Kanatchikov +1
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-W…
Sir Michael Atiyah, a Knight Mathematician A tribute to Michael Atiyah, an inspiration and a friend
Alain Connes, Joseph Kouneiher
Sir Michael Atiyah was considered as one of the world's foremost mathematicians, He is best known for his work in algebraic topology and the co-development of a branch of mathemati…
Superlogic Manifolds and Geometric approach to Quantum Logic
Joseph Kouneiher, Newton Da Costa
The main purpose of this paper is to present a new approach to logic or what we will call superlogic. This approach constitutes a new way of looking at the connection between quant…
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…