A short lecture course by Shi Jin (University of Wisconsin-Madison and Shanghai Jiao Tong University)

4 - 5 July 2013

Organiser: Andrew Stuart

One of the main difficulties in computational quantum mechanics is the highly oscillatory nature of the wave function in the Schrodinger equation. In this course, we will introduce asymptotic and numerical methods for the Schrodinger equation in the semiclassical regime. We will use the WKB method and Wigner tranform to study the semiclassical limit, and then provide descriptions for the semiclassical limit in both the physical space (via multi-valued moment system) and in the phase space. For problems with periodic potentials we will introduce the Bloch decomposition. Numerical methods for these problems will also be discussed.

Background reading

All lectures to be held in Room B3:02, Zeeman Building, Mathematics Institute, University of Warwick

Provisional Schedule:

Thursday 4 July

09:30-11:00 Lecture 1 (Shi Jin)

11:00-11:45 Coffee/Tea (Common Room)

11:45-12:45 Markus Schmuck (Renormalization and Entropy Methods for a New Stochastic Mode Reduction)

12:45-14:15 Lunch

14:15-15:45 Lecture 2 (Shi Jin)

15:45-16:30 Coffee/Tea (Common Room)

Friday 5 July

09:30-11:00 Lecture 3 (Shi Jin)

11:00-11:45 Coffee/Tea (Common Room)

11:45-12:45 Ben Goddard (Transitions Through Avoided Crossings: A Complex, Multiscale Problem)

12:45-14:15 Lunch

14:15-15:45 Lecture 4 (Shi Jin)

15:45-16:30 Coffee/Tea (Common Room)

Funded by:

MASDOC/EPSRC and Warwick IAS

 

 

 

See also:
Mathematics Research Centre
Mathematical Interdisciplinary Research at Warwick (MIR@W)
Past Events 
Past Symposia