Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
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Publication:1389802
DOI10.1007/BF02392742zbMath0908.34072OpenAlexW2067892234WikidataQ56004829 ScholiaQ56004829MaRDI QIDQ1389802
Publication date: 7 February 1999
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02392742
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)
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Cites Work
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- Anderson localization for the almost Mathieu equation: A nonperturbative proof
- Operators with singular continuous spectrum. III: Almost periodic Schrödinger operators
- 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
- Diophantine approximations on submanifolds of Euclidean space
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