Remark on the absence of absolutely continuous spectrum for d-dimensional Schrödinger operators with random potential for large disorder or low energy (Q1082717)
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scientific article; zbMATH DE number 3973989
| Language | Label | Description | Also known as |
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| English | Remark on the absence of absolutely continuous spectrum for d-dimensional Schrödinger operators with random potential for large disorder or low energy |
scientific article; zbMATH DE number 3973989 |
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Remark on the absence of absolutely continuous spectrum for d-dimensional Schrödinger operators with random potential for large disorder or low energy (English)
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1985
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We show that there is no absolutely continuous part in the spectrum of the Anderson tight-binding model for large disorder or low energy. The proof is based on the exponential decay of the Green's function proved by \textit{J. Fröhlich} and \textit{T. Spencer} [Commun. Math. Phys. 88, 151-184 (1983; Zbl 0519.60066)]. The extension of this result to the continuous case is also discussed.
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Schrödinger operators
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Anderson tight-binding model
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Green's function
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