Special Session 164: Periodic and Ergodic Schrodinger Operators

Sharp Polynomial Decay Bounds for Multidimensional Periodic Schroedinger Operators
Christoph Fischbacher
Baylor University
USA
Co-Author(s):    
Abstract:
In this talk, I will present our results on discrete periodic Schroedinger operators in arbitrary dimensions in the large coupling regime. We establish that both the Lieb-Robinson velocity and the asymptotic velocity decay at an inverse polynomial rate in the coupling, with the precise exponent determined by the period of the underlying potetnial. In particular, we show sharp polynomial decay rates that capture the precise dependence on the periodic structure