On the spectrum of skew-shift Schrödinger operators

2010/09/05 by Helge Krüger, Krüger, Helge · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1009.0913

openalex publication_date 2010/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Orthogonal polynomials on the unit circle with Verblunsky coefficients defined by the skew-shift

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