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:6月14日(星期五)上午10:00--11:00
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).
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