Smoothness of the integrated density of states on strips
type: Item
instance of: scholarly article
title: Smoothness of the integrated density of states on strips
zbMATH Open document ID: 0707.35111
DOI: 10.1016/0022-1236(90)90061-O
author: Clemens Glaffig
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: The smoothness of the integrated density of states k(E) of a random Schrödinger operator on a discrete strip lattice is investigated. It is proved that k(E) is \(C^{\infty}\), if the potentials on the top surface of the strip have distributions with compactly supported densities in some fractional order Sobolev space. The \(C^{\infty}\)-result for the case that all potentials have a distribution with compactly supported density in some Sobolev space (i.e. the Anderson model), is also recovered.
Mathematics Subject Classification ID: 35P20
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 4161276
zbMATH Keywords: smoothness
zbMATH Keywords: integrated density of states
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4161276