Upper estimates of the density of states in one dimension interpolating between the Wegner and the Lifshitz regime (Q633861)
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scientific article; zbMATH DE number 5871683
| Language | Label | Description | Also known as |
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| English | Upper estimates of the density of states in one dimension interpolating between the Wegner and the Lifshitz regime |
scientific article; zbMATH DE number 5871683 |
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Upper estimates of the density of states in one dimension interpolating between the Wegner and the Lifshitz regime (English)
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30 March 2011
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Consider the one-dimensional discrete random Schrödinger operators with an uniformly distributed random potential on a finite interval. For the density of states, the Wegner estimates are uniform. They are expected to be inadequate close to the boundary of the spectrum, where Lifshitz behaviour should occur. This paper proves a result interpolating between the Wegner and the Lifshitz regime.
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0.816299319267273
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0.7709510326385498
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0.767024576663971
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