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arxiv: 0905.2845 · v1 · submitted 2009-05-18 · 🧮 math-ph · math.MP

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An uncertainty principle, Wegner estimates and localization near fluctuation boundaries

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classification 🧮 math-ph math.MP
keywords boundariesestimatesfluctuationlocalizationnearprincipleproveuncertainty
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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.

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