**UBC Mathematics Department**

*http://www.math.ubc.ca*

## Colloquium Abstract: Professor Ira Herbst, University of Virginia

*The Schrodinger equation with strong magnetic fields; spectral orbits and topology*

The Schrodinger Hamiltonian is a self-adjoint operator in a Hilbert
space. We study the spectrum of this
operator as a function of the magnetic field strength for large
fields. We think of the spectrum as a point in some large space
and observe its motion (orbi) through this space as the magnetic
field becomes large. In some nice situations we will show that
the motion approaches a periodic or quasi-periodic orbit. I will
attempt to make the talk as elementary as possible.

Return to this week's seminars