Séminaire Analyse Numérique et EDP
Schrödinger evolution in a low-density random potential - Convergence to solutions of the linear Boltzmann equation
16
nov. 2023
nov. 2023
Intervenant : | Søren Mikkelsen |
Heure : | 14h00 - 15h00 |
Lieu : | 3L8 |
It is a fundamental problem in mathematical physics to derive macroscopic transport equation from the underlying microscopic transport equations. In this talk, we will consider such a problem. To be precise we will consider solutions to a time-dependent Schrödinger equation for a potential localised at the points of a Poisson point process. For these solutions we will present a result stating that the phase-space distribution converges in the annealed Boltzmann-Grad limit to a semiclassical Wigner measure which solves the linear Boltzmann equation.