Semiclassical asymptotics of the spectrum of the subcritical Harper operator

DOI10.1134/S0001434618110391zbMath1447.47034OpenAlexW2908025281MaRDI QIDQ668327

Juan-Miguel Gracia

Publication date: 19 March 2019

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

Full work available at URL: https://doi.org/10.1134/s0001434618110391

zbMATH Keywords

spectrumsemiclassical asymptoticsHarper operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear difference operators (47B39)

Related Items

Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems ⋮ Close turning points and the Harper operator ⋮ Complex WKB method (one-dimensional linear problems on the complex plane)

Cites Work

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• The spectral asymptotics of the two-dimensional Schrödinger operator with a strong magnetic field. I
• On the difference equations with periodic coefficients
• A monodromy matrix for the almost Mathieu equation with small coupling constant
• The Ten Martini problem

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