Article ID Journal Published Year Pages File Type
4619523 Journal of Mathematical Analysis and Applications 2010 12 Pages PDF
Abstract

We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supported density.

Related Topics
Physical Sciences and Engineering Mathematics Analysis