Semiclassical computational methods for quantum dynamics with band-crossing and uncertainty
Speaker
Prof. Shi Jin
Shanghai Jiao Tong University
Abstract

Band-crossing is a quantum dynamical behavior that contributes to important physics and chemistry phenomena such as quantum tunneling, Berry  connection, chemical reaction etc.  In this talk, we will discuss some recent works in developing semiclassical methods for band-crossing in surface hopping. For such systems we will also introduce an "asymptotic-preserving" method that is accurate uniformly for all wave numbers, including the problem with random uncertain band gaps.

About the Speaker

金石,现为上海交通大学自然科学研究院院长,数学学院讲席教授。先后获北京大学学士学位,美国亚利桑那大学博士学位,历任美国纽约大学库朗数学研究所博士后,美国佐治亚理工学院助理教授、副教授,美国威斯康星大学(麦迪逊)正教授,数学系系主任,Vilas 杰出成就教授,上海交通大学数学系讲席教授、系主任。他同时担任上海应用数学中心联合主任,上海交通大学教育部科学工程计算重点实验室主任与人工智能数学基础中心主任。他曾获得冯康科学计算奖。他是美国数学会(AMS)首批会士,工业与应用数学学会(SIAM)会士,及2018年国际数学家大会邀请报告人。他的研究方向包括动理学理论,双曲型守恒律,高频波计算,量子动力学,不确定量化,粒子系统,计算流体力学等

Date&Time
2020-11-07 10:00 AM
Location
Room: A203 Meeting Room
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