Speaker:
Shiwen Zhang
Institution:
Michigan State
Time:
Tuesday, January 22, 2019 - 2:00pm to 3:00pm
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.