| 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. |
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