作者:Bader, U; Shalom, Y
作者单位:Technion Israel Institute of Technology; Tel Aviv University
作者:Aizenman, M; Elgart, A; Naboko, S; Schenker, JH; Stolz, G
作者单位:Princeton University; Stanford University; Saint Petersburg State University; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Alabama System; University of Alabama Birmingham; Princeton University
摘要:We study localization effects of disorder on the spectral and dynamical properties of Schrodinger operators with random potentials. The new results include exponentially decaying bounds on the transition amplitude and related projection kernels, including in the mean. These are derived through the analysis of fractional moments of the resolvent, which are finite due to the resonance-diffusing effects of the disorder. The main difficulty which has up to now prevented an extension of this method...