Skip to main content Skip to navigation

Asymptotic and Computational Methods for Semiclassical Schrodinger Equations

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_rgb-1line_small.png EPSRD logo





Aerial photograph of Maths Houses

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

Internet Access at Warwick:
Where possible, visitors should obtain an EDUROAM account from their own university to enable internet access whilst at Warwick.
If you need WiFi whilst at Warwick, click here for instructions (upon arrival at Warwick)
You can register for any of the symposia or workshops online. To see which registrations are currently open and to submit a registration, please click hereLink opens in a new window.
Mathematics Research Centre
Zeeman Building
University of Warwick
Coventry CV4 7AL - UK