Speaker: 

Shiwen Zhang

Institution: 

Michigan State

Time: 

Tuesday, January 22, 2019 - 1:00pm to 2:00pm

Location: 

RH 440R

Abstract: 

We consider the solution to a tight-binding, periodic Schrödinger equation with a random potential evolving stochastically in time. If the potential evolves according to a stationary Markov process, we obtain a positive, finite diffusion constant for the evolution of the solution. More generally, we show that the square amplitude of the wave packet, after diffusive rescaling, converges to a solution of the heat equation. This a joint work with Jeffrey Schenker and  Zak Tilocco.