Absence of \(l^1\) eigenfunctions for lattice operators with fast local periodic approximation

DOI10.4171/JST/105zbMath1332.39017OpenAlexW2528412294MaRDI QIDQ748366

Alexander Ya. Gordon

Publication date: 20 October 2015

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jst/105

zbMATH Keywords

difference operatorseigenfunctionperiodic operatorsAnderson localizationperiodic approximationlattice Schrödinger operatorsquasi-periodic operators

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Partial difference equations (39A14)

Related Items (1)

Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials

Cites Work

• Unnamed Item
• Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
• Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
• Imperfectly grown periodic medium: absence of localized states
• Scattering on the system of the sparse bumps: multidimensional case

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