Anderson Localization for Time Periodic Random Schrödinger operators

Details Anderson Localization for Time Periodic Random Schrödinger operators Anderson Localization for Time Periodic Random Schrödinger operators

2002-09-09

arxiv.org/abs/math/0209091v1

Mathematics

Spectral Theory

15 pgs, to appear in Commun PDE

Scientific paper

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 Schr\"odinger
equations.

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