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- W1489694958 abstract "We give a detailed survey of results obtained in the most recent half-decade which led to a deeper understanding of the random displacement model, a model of a random Schrödinger operator which describes the quantum mechanics of an electron in a structurally disordered medium. These results started by identifying configurations which characterize minimal energy, then led to Lifshitz tail bounds on the integrated density of states as well as a Wegner estimate near the spectral minimum, which ultimately resulted in a proof of spectral and dynamical localization at low energy for the multi-dimensional random displacement model." @default.
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- W1489694958 date "2012-01-01" @default.
- W1489694958 modified "2023-09-30" @default.
- W1489694958 title "Understanding the Random Displacement Model: From Ground State Properties to Localization" @default.
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- W1489694958 doi "https://doi.org/10.1007/978-3-0348-0414-1_10" @default.
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