Anderson Localization for Time Periodic Random Schrödinger operators

Avy Soffer; Wei-Min Wang

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Anderson Localization for Time Periodic Random Schrödinger operators

Avy Soffer·Wei-Min Wang

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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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Avy Soffer, Wei-Min Wang. 2002-09-09. Anderson Localization for Time Periodic Random Schrödinger operators. https://arxiv.org/abs/math/0209091

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