The HADES seminar on Tuesday, August 27th will be given by Haoren Xiong in Evans 748 from 3:40 to 5 pm

Speaker: Haoren Xiong, Berkeley

Abstract: Scattering resonances of Schrödinger operator with a compactly supported potential are defined as the poles of the meromorphic continuation of the resolvent. I will introduce the method of complex scaling which produces a natural family of non-self-adjoint operators whose discrete spectrum consists of resonances. Furthermore, we will see that similar results hold in the case of dilation analytic potentials.