On the spectrum of the one-dimensional Schrödinger operator

DOI10.3934/dcdsb.2008.9.541zbMath1146.39027OpenAlexW2331300158MaRDI QIDQ934160

Roberta Fabbri, Nguyen Dinh Cong

Publication date: 29 July 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.9.541

zbMATH Keywords

exponential dichotomyCantor spectrumquasi-periodic Schrödinger operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Topological dynamics of nonautonomous systems (37B55)

Related Items (5)

On the Lyapunov exponent of certain \(SL (2,\mathbb R)\)-valued cocycles. II ⋮ Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration ⋮ Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts

This page was built for publication: On the spectrum of the one-dimensional Schrödinger operator