The spectrum and density of states of the almost Mathieu operator with frequency represented by a continued fraction with large elements

DOI10.1134/S0001434620050387OpenAlexW3046867768MaRDI QIDQ2192179

Alexander Fedotov, E. Shchetka

Publication date: 29 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620050387

zbMATH Keywords

semiclassical approximationspectrumdensity of statesalmost Mathieu operator

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx)

Related Items (2)

Close turning points and the Harper operator ⋮ Complex WKB method (one-dimensional linear problems on the complex plane)

Cites Work

• The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I
• Almost localization and almost reducibility
• The Ten Martini problem
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
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