Mathematical Models for Transport in Macroscopic and Mesoscopic Systems - Abstract

Méhats, Florian

Reduction of dimension for the Schrödinger--Poisson system

I will present some joint works with N. Ben Abdallah, F. Castella, F. Fendt and O. Pinaud. We analyze the time-dependent 3D Schrödinger-Poisson system with a singular perturbation modeling the effect of a strong confining potential. I will discuss on two cases : confinement on a plane (for bidimensional electron gases) or on a line (for nanowires), which are qualitatively very different.