Next Kinetic Theory Seminar: Mean-field and semiclassical analysis: Quantum Wasserstein and Sobolev distances

29 Nov 2022

We are pleased to announce that the next “Kinetic Theory Seminar” will take place in Basel on Monday, December 5, 2022.

This seminar series organized by Mikaela Iacobelli (ETH Zurich) and Chiara Saffirio (UniBas), aims at bringing together researchers interested in kinetic theory from the Zurich and Basel area. There is one event per semester, alternating locations between the ETH Zurich and the University of Basel.

Next Kinetic Theory Seminar:

When: Monday December 5 from 2:00 PM to 4:00 PM; coffee break at the Kollegienhaus, Foyer 1.OG from 2:45 to 3:15 PM.

Location: Basel, Kollegienhaus, Seminarraum 103.

Speaker: Laurent Laflèche (University of Lyon).

Title: Mean-field and semiclassical analysis: Quantum Wasserstein and Sobolev distances.

Abstract: In the context of combined mean-field and semiclassical limits, such as the limit from the N-body Schrödinger equation to the Hartree--Fock and Vlasov equations, it is useful to obtain inequalities uniform in the Planck constant and the number of particles. It is therefore important to obtain analogous tool and inequalities in the context of quantum mechanics, such as operator versions of Wasserstein, Lebesgue and Sobolev distances, and the corresponding classical inequalities. The stability estimates for the Vlasov equation then yields different quantitative versions of the mean-field and semiclassical limits that do not have the same advantages, leading to different initial data, types of potentials, rates of convergence and time of validity of the estimates.

Phase I & II research project(s)

New member: Niccolò Muttoni (UNIGE, M. Maggiore 's Group)

Maths et climat se mélangent aux Diablerets