Speaker：Dr. Shiwen Zhang            

                          University of Minnesota

Title:  Diffusion in the Mean for a Periodic Schrödinger Equation Perturbed by a Fluctuating Potential. 

       Time：12 June 2019, 14:30

Location：实验楼105

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

Speaker Introduction：张世文，现为美国明尼苏达博士后，2016年于美国加州大学尔湾分校获得博士学位，2016-2019为密歇根州立大学博士后。研究领域是数学物理,动力系统及薛定谔算子谱理论，部分成果发表在Int.Math.Res.Not., Annales Henri Poincare, Journal d’Analyse Math., Rev.Mat.Iberoam., Ergodic Theory&Dynam.Systems等期刊。