2 Calcul de Weyl et déformations
A continuous geometry as a mathematical model for quantum mechanics
A discrete and finite approach to past physical reality.
A field equation defined by a Hurwitz pair
A gauge theoretical approach to space-time structures
Adiabatic Evolution of Coupled Waves for a Schrödinger-Korteweg-de Vries System
The effective dynamics of interacting waves for coupled Schrödinger-Korteweg-de Vries equations over a slowly varying random bottom is rigorously studied. One motivation for studying such a system is better understanding the unidirectional motion of interacting surface and internal waves for a fluid system that is formed of two immiscible layers. It was shown recently by Craig-Guyenne-Sulem [1] that in the regime where the internal wave has a large...
Algebraic Weyl system and application
Anomalous quantum transport in presence of self-similar spectra
Calculation of the Hall conductivity by Abel limit
Controllability of Schrödinger equations
One considers a quantum particle in a 1D moving infinite square potential well. It is a nonlinear control system in which the state is the wave function of the particle and the control is the acceleration of the potential well. One proves the local controllability around any eigenstate, and the steady state controllability (controllability between eigenstates) of this control system. In particular, the wave function can be moved from one eigenstate to another one, exactly and in finite time, by...
Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
In this paper, we prove the convergence of the current defined from the Schrödinger-Poisson system with the presence of a strong magnetic field toward a dissipative solution of the Euler equations.
Convergence of the Schrödinger-Poisson system to the Euler equations under the influence of a large magnetic field
In this paper, we prove the convergence of the current defined from the Schrödinger-Poisson system with the presence of a strong magnetic field toward a dissipative solution of the Euler equations.
Définition de l'intégrale de Feynman et processus à sauts
Derivation of Hartree’s theory for mean-field Bose gases
This article is a review of recent results with Phan Thành Nam, Nicolas Rougerie, Sylvia Serfaty and Jan Philip Solovej. We consider a system of bosons with an interaction of intensity (mean-field regime). In the limit , we prove that the first order in the expansion of the eigenvalues of the many-particle Hamiltonian is given by the nonlinear Hartree theory, whereas the next order is predicted by the Bogoliubov Hamiltonian. We also discuss the occurrence of Bose-Einstein condensation in these...
Discretized representations of harmonic variables by bilateral Jacobi operators.
Effet tunnel pour des puits sous-variétés
Équations non linéaires du type Thomas-Fermi
Estimations de l'effet tunnel pour le double-puits
Estimations exponentielles précisées en théorie adiabatique
États localisés du rotateur pulsé