This Friday, March 25 at 11am we will have the pleasure to welcome Philipp Gohlke (https://www.math.uni-bielefeld.de/~pgohlke/) who will speak to us about
Schrödinger operators associated with dynamic systems
Here is summary :
Spectral properties of Schrödinger operators are relevant for the behavior of quantum mechanical systems in the presence of an external potential. In many interesting cases, the potential can be generated via a dynamical system.
There is a partial understanding and some general heuristics on how the spectrum of the Schrödinger operator depends on the type of dynamical systems.
We will discuss some of the known results and explore how they change if the potential is modified by a periodic background (joint work with D.Damanik and J.Fillman).