On the stationary Schrödinger equation with a quasi-periodic potential (Q1081010)
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scientific article; zbMATH DE number 3969090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stationary Schrödinger equation with a quasi-periodic potential |
scientific article; zbMATH DE number 3969090 |
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On the stationary Schrödinger equation with a quasi-periodic potential (English)
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1984
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We consider the stationary Schrödinger equation (1) \(Ly=- y''+q(x)y=\lambda y\) on the real line, where q is a real, quasi-periodic potential. Our aim is to extend the result of Dinaburg and Sinai about the existence of Floquet type solutions - or extended states-to the resonant case and to obtain a large number of spectral gaps, which are generically open.
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second order differential equation
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stationary Schrödinger equation
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quasi-periodic potential
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Floquet type solutions
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spectral gaps
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0.9419894
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