Special Session 81: 

Semiclassical computational methods for quantum dynamics with uncertain band-gap

Shi Jin
Shanghai Jiao Tong University and University of Wisconsin-Madison
Peoples Rep of China
Co-Author(s):    
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.