20.11.2018 16:30 Clotilde Fermanian Kammerer (Paris, France):
Wigner measures and effective mass theoremsMI 03.10.011 (Boltzmannstr. 3, 85748 Garching)
In this talk, we shall present recent results concerning the dynamics of an electron in a crystal in the presence of impurities. It is well-known that under suitable assumptions on the initial data, the wave function can be approximated in the semi-classical limit by the solution of a simpler equation, the effective mass equation. Using Floquet-Bloch decomposition, we establish effective mass equations for rather general initial data, by introducing a new type of effective mass equations which are operator-valued and of Heisenberg form.