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On the spectrum of skew-shift Schrödinger operators

Helge Krüger

Abstract

I prove that the spectrum of a skew-shift Schrödinger operator contains larges interval in the semi-classical regime. In the semi-classical limit, these intervals approach the range of the potential.

MSC2000: Primary 81Q10; Secondary 37D25
Keywords: spectrum, ergodic Schrödinger operators, skew-shift

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