PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anna Mazzucato, Alexei Novikov, Manfred Denker.

Title:Special Analysis Seminar: Resonances in scattering by two magnetic fields at large separation and a complex scaling method
Seminar:Probability and Financial Mathematics Seminar
Speaker:Ivana Alexandrova, University at Albany
Abstract:
We study the quantum resonances in magnetic scattering in two dimensions. The scattering system consists of two obstacles by which the magnetic fields are completely shielded. The trajectories trapped between the two obstacles are shown to generate the resonances near the positive real axis, when the distance between the obstacles goes to infinity. The location is described in terms of the backward amplitudes for scattering by each obstacle. A difficulty arises from the fact that even if the supports of the magnetic fields are largely separated from each other, the corresponding vector potentials are not expected to be well separated. To overcome this, we make use of a gauge transformation and develop a new type of complex scaling method. We can cover the scattering by two solenoids at large separation as a special case. The obtained result heavily depends on the magnetic fluxes of the solenoids. This indicates that the Aharonov–Bohm effect influences the location of resonances. This is joint work with Hideo Tamura.

Room Reservation Information

Room Number:MB106
Date:02 / 26 / 2016
Time:02:30pm - 03:30pm