Generic continuous spectrum for multi-dimensional quasiperiodic Schrödinger operators with rough potentials

DOI10.4171/JST/238zbMath1402.81150arXiv1712.01782OpenAlexW2962725628MaRDI QIDQ1624174

Fan Yang, Rui Han

Publication date: 15 November 2018

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

Full work available at URL: https://arxiv.org/abs/1712.01782

zbMATH Keywords

multi-dimensional quasiperiodic Schrödinger operators absence of eigenvalues

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Cites Work

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• Generic continuous spectrum for ergodic Schrödinger operators
• Discrete Schrödinger operators with potentials defined by measurable sampling functions over Liouville torus rotations
• Operators with singular continuous spectrum. I: General operators
• Absence of Eigenvalues for Quasi-Periodic Lattice Operators with Liouville Frequencies

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