Student Harmonic Analysis and PDE Seminar (HADES): The method of complex scaling

Seminar | August 27 | 3:30-5 p.m. | 748 Evans Hall

 Haoren Xiong, UC Berkeley

 Department of Mathematics

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.