Some rigorous results for random and quasi-periodic potentials (Q1117606)
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scientific article; zbMATH DE number 4092537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some rigorous results for random and quasi-periodic potentials |
scientific article; zbMATH DE number 4092537 |
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Some rigorous results for random and quasi-periodic potentials (English)
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1986
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We review some mathematical results and conjectures for random and quasi- periodic Schrödinger operators. The role of localization in certain nonlinear systems is also discussed. In addition we present some general arguments which show that the correlation length exponent \(\nu\geq 2/d\) for a wide class of d dimensional random systems including the dilute Ising ferro-magnet.
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random and quasi-periodic Schrödinger operators
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localization
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Ising ferro-magnet
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