06-14吴文俊数学重点实验室Dynamical Systems Seminar 【张世文】

时间:2019-06-05

报告题目:Diffusion in the Mean for a Periodic Schrödinger Equation Perturbed by a Fluctuating Potential 

报告人:张世文 University of Minnesota

时间:614日(星期五)上午1000--1100

地点:管理科研楼1418教室

摘要: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.  (Joint work with J. Schenker and Z. Tilocco at the Michigan State University).

 

欢迎广大师生参加!