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

Helge Krüger

doi:10.3934/proc.2011.2011.874

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2011, Volume 2011: 874-880. Doi: 10.3934/proc.2011.2011.874 open access

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

Helge Krüger^1,

1.
Erwin Schrödinger Institute, Boltzmanngasse 9, 1090 Vienna

Received: June 30, 2010

Revised: July 31, 2011

Published: August 2017

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Abstract

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: 47B36.

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