The purpose of this paper is to present and give full proofs of new original research results concerning integration of and scattering of the classical Maxwell-Dirac equations. We prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac…
We study a class of periodic Schrödinger operators, which in distinguished cases can be proved to have linear band-crossings or "mDirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic potentials by a domain wall, results in th…
In this paper, we study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black hole. In the first part, we establish the existence and asymptotic completeness of time-dependent w…
Introduction à la théorie de jauge
Introduction à la théorie de jauge et présentation de quelques applications en topologie différentielle. Accessible aux étudiants ayant suivi des cours de géométrie différentielle et de topologie algébrique.--[Memento].
