Purely absolutely continuous spectrum for almost Mathieu operators
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Publication:750732
DOI10.1007/BF01041087zbMath0714.34129OpenAlexW2068277608MaRDI QIDQ750732
François Delyon, Victor Chulaevskij
Publication date: 1989
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01041087
Schrödinger equationlocalizationgeneralized eigenfunctionsquasiperiodic potentialalmost Mathieu operatorsHarper's equation
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
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Cites Work
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- A metal-insulator transition for the almost Mathieu model
- Almost periodic Schrödinger operators. II: The integrated density of states
- Cantor spectrum for the almost Mathieu equation
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
- Absence of localisation in the almost Mathieu equation
