Lyapunov exponents of the Schrödinger equation with quasi-periodic potential on a strip
type: Item
instance of: scholarly article
title: Lyapunov exponents of the Schrödinger equation with quasi-periodic potential on a strip
zbMATH Open document ID: 0759.39001
DOI: 10.1007/BF02099395
author: Eugene Sorets
author: I. Goldsheid
published in: Communications in Mathematical Physics
publication date: 1992-09-27T00:00:00Z
review text: The authors prove that all the non-negative Lyapunov exponents of the difference Schrödinger equation \(-y_{n+1}+Q_ ny_ n-y_{n-1}=0\) \(-\infty<n<+\infty\) are strictly positive. Here \(y_ n\in R^ m\) and \(Q_ n\) is a symmetric \(m\times m\) matrix whose off-diagonal elements do not depend on \(n\), and the diagonal elements are quasiperiodic functions.
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 61986
zbMATH Keywords: quasi-periodic potential
zbMATH Keywords: non-negative Lyapunov exponents
zbMATH Keywords: difference Schrödinger equation
reviewed by: Stefan Balint
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 61986