Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator

DOI10.1007/BF01083702zbMath0599.34029OpenAlexW2009647385MaRDI QIDQ1080023

V. A. Chulaevskij, Stanislav Alekseevich Molchanov

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01083702

zbMATH Keywords

spectral measuresecond order differential equation

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items (10)

Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two ⋮ An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators ⋮ Spectral properties of a limit-periodic Schrödinger operator in dimension two ⋮ Schrödinger operators with dynamically defined potentials ⋮ Multidimensional almost-periodic Schrödinger operators with Cantor spectrum ⋮ Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents ⋮ Ballistic transport for Schrödinger operators with quasi-periodic potentials ⋮ Construction of quasiperiodic Schrödinger operators with Cantor spectrum ⋮ The discrete Feynman integral ⋮ Limit-periodic Schrödinger operators with uniformly localized eigenfunctions

Cites Work

• Pure point spectrum for discrete almost periodic Schrödinger operators
• Examples of discrete Schrödinger operators with pure point spectrum
• Exponential localization in one dimensional disordered systems

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