Workshop on Semiclassical Limits:
WKB vs the Wigner Transform
NOVEMBER 22 - 25
Organized by P Gérard, Shi Jin, P A Markowich, and N J Mauser
Several groups have recently made analytic and numeric progress in the field of semiclassical limits.
This small workshop is an opportunity for a critical evaluation of the state of the art.
All speakers are kindly requested to send, if possible, a .ps file of notes or a manuscript relevant to their talks.
These will be made available for download
here , and would be a great benefit to the participants.
Please send your .ps files to norbert.mauser@univie.ac.at .
Schedule (all talks in ESI lecture hall):
| Thursday, November 22 |
| 10:30 |
Opening |
| 10:45 |
Stefan Teufel (Munich) |
Adiabatic decoupling of Bloch bands |
|
| 15:00 |
Gianluca Panati (Trieste and Munich) |
Space-adiabatic perturbation theory and the Dirac equation |
| 15:45 |
Kaffee |
| 16:15 |
Clotilde Fermanian-Kammerer (Paris) |
Operator-valued Landau-Zener formula for the Dirac equation with zero mass |
| Friday, November 23 |
| 10:15 |
Patrick Gérard (Orsay) |
Instability results for the nonlinear Schrö:dinger equation on
spheres |
| 11:15 |
Jean Dolbeault (Dauphine) |
Asymptotic stability for defocussing NLS |
|
| 15:00 |
Christof Sparber (Wien) |
Multivalued geometric optics: WKB vs Wigner |
| 15:45 |
Kaffee |
| 16:15 |
Jean-David Benamou (INRIA Rogencourt) |
Numerical techniques for multivalued geometric optics |
| 17:00 |
Dieter Jaksch (Innsbruck) |
Applications of the nonlinear Schrödinger equation in Bose-Einstein condensation |
| Saturday, November 24 |
| 10:15 |
Remi Carles (Rennes) |
Semiclassical Schrödinger equations with harmonic potential and nonlinear perturbations |
|
| 11:15 |
Spyros Kamvassis (IHES and Patras) |
High frequency limits for soliton equations |
| 15:00 |
Francois Castella (Rennes) |
High frequency asymptotics in the Helmholtz equations with source term |