The spectral minimum for random displacement models
type: Item
instance of: scholarly article
title: The spectral minimum for random displacement models
zbMATH Open document ID: 1012.60090
DOI: 10.1016/S0377-0427(02)00578-2
author: Jason Lott
author: Günter Stolz
published in: Journal of Computational and Applied Mathematics
publication date: 2003-02-23T00:00:00Z
review text: Let a potential \(V\) be given as follows: Fix a single-site potential \(f\) which is supported in an interval of length less than 1. Construct \(V\) by placing a translate of \(f\) into each unit interval \([n,n+1]\) for an integer \(n\), where otherwise the positions of each translate are arbitrary. The main question of the paper is: Which configuration of single site minimizes the spectral minimum of Schrödinger operator with potential \(V\)? A conjecture on the solution of this question is formulated. A partial result toward its verification is proved. Results of numerical calculations, providing additional evidence for correctness of the conjecture, are presented.
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 82B43
zbMATH DE Number: 1872878
zbMATH Keywords: random Schrödinger operator
zbMATH Keywords: spectral theory
reviewed by: U. A. Rozikov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1872878