Pour tout renseignement complémentaire, veuillez contacter les
organisateurs, Hakim
Boumaza, Mathieu
Lewin
ou Stéphane
Nonnenmacher.
| 14h - 15h |
Eric Vacelet (Angers) |
Propagation of Semiclassical Measures Between Two Topological Insulators
Abstract: We study the propagation of a family of initial conditions in the presence of two topological insulators without magnetic field where the interface is a smooth connected curve not compact without boundaries. The solution is governed by an adiabatic modulation of a Dirac operator with a variable mass. We determine the evolution of the semiclassical measure of the solution with a two-scale Wigner measure method by reducing the Dirac operator to a normal form. |
| 15h15 - 16h15 | Thomas Gamet (ENS Lyon) |
Semiclassical limit of a trapped dilute Fermi gas
Abstract: In this talk, I will discuss the semi classical limit of a dilute Fermi gas in a fixed trapping potential. The ground state energy of such a system with very short-range interactions (scaling with the number of particles) and spin 1/2 fermions converges to the Thomas Fermi energy of the system, with a perturbative term corresponding to the interactions. The main difficulty of this problem is the lack of explicit diagonalization of the one-particle Hamiltonian. |