About: Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators

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Attributs	Valeurs
type	work Article
Is Part Of	Spectral problems. Issue dedicated to the memory of M. Birman
Subject	Schrödinger operators Perturbation theory Jacobi (tridiagonal) operators (matrices) and generalizations semiclassical analysis gaps in the spectrum
Title	Semiclassical Analysis of the Largest Gap of Quasi-Periodic Schrödinger Operators
Date	2010-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p256/m/web http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p256/m/print
related by	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p256/authorship/1
Author	Krüger, H.
Abstract	In this note, I wish to describe the first order semiclassical approximation to the spectrum of one frequency quasi-periodic operators. In the case of a sampling function with two critical points, the spectrum exhibits two gaps in the leading order approximation. Furthermore, I will give an example of a two frequency quasi-periodic operator, which has no gaps in the leading order of the semiclassical approximation.
article type	research-article
publisher identifier	mmnp201054p256
Date Copyrighted	2010-01-01(xsd:dateTime)
Rights	© EDP Sciences, 2010
Rights Holder	EDP Sciences
is part of this journal	Mathematical Modelling of Natural Phenomena
is primary topic of	http://hub.abes.fr/edp/periodical/mmnp/2010/volume_5/issue_4/mmnp201054p256/w/record

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