Department of Mathematics

Speaker: Zuoqin Wang
Title: Inverse Spectral Problems for Semiclassical Schrödinger Operators
Affiliation: University of Michigan
Date: Monday, February 11, 2013
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. In this talk I will start with a brief introduction to quantization and semiclassical analysis. Then I will introduce several different types of semiclassical spectral invariants for semiclassical Schrödinger operators, with an emphasis on spectral invariants for perturbed Harmonic oscillators. As applications, we will give various inverse spectral results on determine the potential function of these Schrödinger-type operators. This is based on joint work with Victor Guillemin (MIT) and Alejandro Uribe (University of Michigan).