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arxiv: 1009.0913 · v1 · pith:WXZHFENJnew · submitted 2010-09-05 · 🧮 math.SP

On the spectrum of skew-shift Schr\"odinger operators

classification 🧮 math.SP
keywords odingerschrsemi-classicalskew-shiftspectrumapproachcontainsinterval
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I prove that the spectrum of a skew-shift Schr\"odinger operator contains larges interval in the semi-classical regime. In the semi-classical limit, these intervals approach the range of the potential.

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