28 août 2023 à 1 septembre 2023
Fuseau horaire Europe/Paris

Schrödinger evolution in a low-density random potential: convergence to solutions of the linear Boltzmann equation

31 août 2023, 10:15
45m

Orateur

Soeren Mikkelsen (University of Bath)

Description

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.

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