Positive Lyapunov exponents for continuous quasiperiodic Schrödinger equations

DOI10.1063/1.2167808zbMath1111.34040OpenAlexW2167533370MaRDI QIDQ3441605

Kristian Bjerklöv

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2167808

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Random linear operators (47B80)

Related Items (7)

Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations ⋮ Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices ⋮ Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies ⋮ Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration ⋮ Non-perturbative localization with quasiperiodic potential in continuous time ⋮ Phase transition and semi-global reducibility ⋮ Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\)

Cites Work

• Localization for a class of one dimensional quasi-periodic Schrödinger operators
• Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions

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