graduate

Andersol model: Eigenvalue and Egenfunction related bounds

TYPETheor./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.