Close turning points and the Harper operator
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Publication:6169445
DOI10.1134/S0001434623050152zbMath1521.39020OpenAlexW4381331325MaRDI QIDQ6169445
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Publication date: 11 July 2023
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434623050152
Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Discrete version of topics in analysis (39A12) Difference operators (39A70) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
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Cites Work
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- Semiclassical asymptotics of the spectrum of the subcritical Harper operator
- Anderson transitions for a family of almost periodic Schrödinger equations in the adiabatic case
- On the difference equations with periodic coefficients
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- Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states
- The Ten Martini problem
- On Bloch solutions of difference Schrödinger equations
- Semiclassical asymptotics of transition matrices for difference equations with two coalescing turning points
- Monodromization method in the theory of almost-periodic equations
- Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
- Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial
- Difference equations in the complex plane: quasiclassical asymptotics and Berry phase
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