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.