An uncertainty principle, Wegner estimates and localization near fluctuation boundaries

2009/05/18 by Anne Boutet de Monvel, Daniel Lenz, de Monvel, Anne Boutet +3
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Quantum chaos and dynamical systems #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0905.2845

Abstract

We prove a simple uncertainty principle and show that it can be applied to prove Wegner estimates near fluctuation boundaries. This gives new classes of models for which localization at low energies can be proven.

Citations

• Bootstrap Multiscale Analysis and Localization¶in Random Media

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