Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation
type: Item
instance of: scholarly article
title: Adiabatic invariants and asymptotic behavior of Lyapunov exponents of the Schrödinger equation
zbMATH Open document ID: 0628.34052
DOI: 10.1007/BF01033075
author: François Delyon
author: P. Foulon
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: We give an upper bound for the high-energy behavior of the Lyapunov exponent of the one-dimensional Schrödinger equation. We relate this behavior to the differentiability properties of the potential. As an application, this result provides an upper bound for the asymptotic length of the gaps of the Schrödinger equation.
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 4021666
zbMATH Keywords: high-energy behavior
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: one-dimensional Schrödinger equation
zbMATH Keywords: potential
MaRDI profile type: Publication
cites work: Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
cites work: Spectrum and continuum eigenfunctions of Schrödinger operators
cites work: The asymptotics of the gap in the Mathieu equation
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description: scientific article; zbMATH DE number 4021666