Andersol model: Eigenvalue and Egenfunction related bounds |
| TYPE | Theor./Math. Physics Seminar |
| Speaker: | Alexander Rivkind |
| Affiliation: | Technion |
| Date: | 29.01.2012 |
| Time: | 14:30 |
| Location: | Lewiner Seminar Room (412) |
| Remark: | Master's semninar |
| Abstract: | Anderson localization in 1D NLSE context is an open problem. Resonant phenomena in Linear Shroedinger equation are of key importance for the non-linear case as they might cause a crosstalk between states and screw up the localization. We prove bounds for the minimal spacing between eigenvalues and for the eigenfunction derivative v.r.t. the random potential. |