Ivana Alexandrova: Resonances in Scattering by Two Magnetic Fields at Large Separation

We consider the problem of quantum resonances in scattering by two compactly supported magnetic fields at large separation. We develop a new complex scaling method to establish the existence of the resonances in this setting and determine their approximate locations. The model we study is motivated by the Aharonov-Bohm effect, which is considered one of the most important quantum mechanical phenomena. This is joint work with Hideo Tamura.