#### Mathieu Lewin (Universite de Cergy-Pointoise) "Geometric methods for nonlinear quantum many-body systems"

Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schrödinger operators. In this talk I will present a formalism which also allows to study nonlinear systems. I will in particular define a weak topology on many-body states, which appropriately describes the physical behavior of the system in the case of lack of compactness, that is when some particles are lost at infinity. As an application I prove the existence of multi-polaron systems in the Pekar- Tomasevich approximation, in a certain regime for the coupling constant.

**Location:**
Jadwin 343

**Date/Time: **12/14/10
at
4:30 pm
- 12/14/10
at
6:00 pm

**Category: **Mathematical Physics Seminar

**Department: **Physics