4 papers · 1 filter
On Jean-Marie Souriau's geometric quantization of the relativistic electron
Géry de Saxcé
The aim of this paper is to revisit, in Souriau's book "Structure of Dynamical Systems", the chapter devoted to the geometric quantization where the justifications of important res…
Variational theory of Cosserat arches and affine tensors
Géry de Saxcé
Our purpose is to revisit the screw theory in light of the affine tensor formalism, introducing the co-momentum and momentum tensors. Our target-applications of the Euler-Poincaré…
A family of variational principles of minima for the plasticity, the friction contact and the fracture mechanics
Géry de Saxcé
The paper is a synthesis of several works on the variational principles for application to the mechanics and the physics, inspired from original ideas of Brezis, Ekeland and Nayrol…
Which symmetry group for elementary particles with an electric charge today and in the past?
Géry de Saxcé
In this paper, we revisit the Kaluza-Klein theory from the perspective of the classification of elementary particles based on the coadjoint orbit method. We study the momentum map…