Anderson Localization for Time Periodic Random Schrödinger operators

2002/09/09 by Avy Soffer, Soffer, Avy, Wei-Min Wang +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP) #math.AP #math.SP

paper · pdf · doi:10.48550/arxiv.math/0209091

15 pgs, to appear in Commun PDE

arxiv created 2002/09/09 · arxiv updated 2009/11/30

Abstract

We prove that at large disorder, Anderson localization in \Z^d is stable under localized time-periodic perturbations by proving that the associated quasi-energy operator has pure point spectrum. The formulation of this problem is motivated by questions of Anderson localization for non-linear Schrödinger equations.

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