Andersol model: Eigenvalue and Egenfunction related bounds

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.