A monodromy matrix for the almost Mathieu equation with small coupling constant
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Publication:2314185
DOI10.1007/S10688-018-0241-4zbMath1416.39012OpenAlexW2913399098MaRDI QIDQ2314185
Publication date: 19 July 2019
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10688-018-0241-4
Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Difference operators (39A70) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Linear difference equations (39A06)
Related Items (2)
Semiclassical asymptotics of the spectrum of the subcritical Harper operator ⋮ On minimal entire solutions of the one-dimensional difference Schrödinger equation with the potential \(v(z) = e^{-2\pi iz}\)
Cites Work
- Central spectral gaps of the almost Mathieu operator
- Tunnelling between tori in phase space
- Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case
- On the difference equations with periodic coefficients
- The Ten Martini problem
- Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality
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