# University of Toronto's Symplectic Geometry Seminar

October 16, 2006, 2:10pm

BA 6183

## Victor Ivrri

### University of Toronto

## Magnetic Schrödinger Operator: Geometry, Classical and Quantum
Dynamics and Spectral Asymptotics

**Abstract:
I consider even-dimensional Schrödinger operator with the small
Planck parameter ***h* and a large coupling parameter μ, and
discuss connections between the geometry of magnetic field, classical
and quantum dynamics of the corresponding movements and the remainder
estimate in the spectral asymptotics. I assume that magnetic field is generic
and consider both generic and general potentials.