Asymptotic of gaps at small coupling and applications of the skew-shift Schrödinger operator

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2011, 2011(Special): 874-880. doi: 10.3934/proc.2011.2011.874

Asymptotic of gaps at small coupling and applications of the skew-shift Schrödinger operator

1.	Erwin Schrödinger Institute, Boltzmanngasse 9, 1090 Vienna, Austria

Received July 2010 Revised August 2011 Published October 2011

Abstract
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I derive an asymptotic formula for the gaps of periodic discrete Schrödinger operators. An application to the skew-shift Schrödinger operator is discussed.

Keywords: Spectrum, Schrödinger operator..

Mathematics Subject Classification: Primary: 81Q10; Secondary: 47B3.

Citation: Helge Krüger. Asymptotic of gaps at small coupling and applications of the skew-shift Schrödinger operator. Conference Publications, 2011, 2011 (Special) : 874-880. doi: 10.3934/proc.2011.2011.874

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