Continuous spectrum and uniform localization for ergodic Schrödinger operators

DOI10.1006/jfan.1996.3019zbMath0883.47044OpenAlexW1994674293MaRDI QIDQ1355073

Svetlana Ya. Jitomirskaya

Publication date: 23 February 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3019

zbMATH Keywords

continuous spectrumrandom Schrödinger operatoreigenfunctionsexponential decayuniform bounduniform localizationabsence of point spectrumergodic family of discretized Schrödinger operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Random nonlinear operators (47H40)

Related Items

Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization ⋮ Exponential dynamical localization for the almost Mathieu operator ⋮ Decay of multi-point correlation functions in \(\mathbb{Z}^d\) ⋮ Schrödinger operators with dynamically defined potentials ⋮ Diagonalization in a quantum kicked rotor model with non-analytic potential ⋮ All couplings localization for quasiperiodic operators with monotone potentials ⋮ Uniform localization is always uniform ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization ⋮ Limit-periodic Schrödinger operators with uniformly localized eigenfunctions

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