Localization for a class of discrete long-range quasi-periodic operators

DOI10.1007/s11005-022-01581-8OpenAlexW4294068947WikidataQ114224861 ScholiaQ114224861MaRDI QIDQ2079250

Yunfeng Shi, Li Wen

Publication date: 29 September 2022

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

Full work available at URL: https://doi.org/10.1007/s11005-022-01581-8

zbMATH Keywords

localizationKAM methodquasi-periodic operatorslong-range hopping

Mathematics Subject Classification ID

Quantum chaos (81Q50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (1)

The stability of Sobolev norms for the linear wave equation with unbounded perturbations

Cites Work

• Pure point spectrum for discrete almost periodic Schrödinger operators
• Examples of discrete Schrödinger operators with pure point spectrum
• Localization in \(\nu\)-dimensional incommensurate structures
• Small divisors with spatial structure in infinite dimensional Hamiltonian systems
• The one-dimensional Schrödinger equation with a quasiperiodic potential
• Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
• Methods of KAM-theory for long-range quasi-periodic operators on \({\mathbb{Z}}^{\nu}\). Pure point spectrum
• Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
• Spectral behavior of quasi periodic potentials

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