An introduction to the localization dichotomy
Spectral Methods in Mathematical Physics
17 April 17:00 - 18:00
Massimo Moscolari - Sapienza University of Rome
In 2016 a localization dichotomy result for periodic Schrödinger operators has been proved. This result shows that the localization properties of the Wannier functions associated to a periodic Schrödinger operator are deeply connected to the topological properties of the quantum system.
After a short and informal introduction about periodic Schrödinger operators and Wannier functions, I will explain the localization dichotomy result and I will discuss the possibility of extending it to a generic non-periodic setting, which is a work in progress with G. Marcelli and G. Panati.
University of Zurich, UZH