For more information about this meeting, contact Dmitri Burago, Anatole Katok.
| Title: | Defect Eigenvalues and Diophantine approximation. |
|---|
| Seminar: | Center for Dynamics and Geometry Seminar |
|---|
| Speaker: | Jared Bronski, Urbana-Champaign |
|---|
| Abstract: |
|---|
| We consider the problem of a periodic Schrodinger eigenvalue
problem on the line with a dislocation type defect. We prove an index
theorem bounding the number of eigenvalues in a particular gap
in terms of the number of connected components of the intersection
of resolvent sets. This count also admits an interpretation
as a Maslov index. In the semiclassical (large energy) limit the number of
eigenvalues depends on the solvability of a certain Diophantine
approximation problem. |
Room Reservation Information
| Room Number: | MB106 |
|---|
| Date: | 10 / 25 / 2010 |
|---|
| Time: | 03:30pm - 05:30pm |
|---|
