Difference equations in the complex plane: quasiclassical asymptotics and Berry phase

DOI10.1080/00036811.2020.1738400zbMath1484.39018arXiv1910.09445OpenAlexW3000681388MaRDI QIDQ5862279

E. Shchetka, Alexander Fedotov

Publication date: 7 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09445

zbMATH Keywords

geometric phasecomplex planequasiclassical asymptotics

Mathematics Subject Classification ID

Difference equations in the complex domain (39A45)

Related Items (1)

Close turning points and the Harper operator

Cites Work

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• Lagrangian manifolds related to the asymptotics of Hermite polynomials
• The complex WKB method for difference equations in bounded domains
• The Ten Martini problem
• Monodromization method in the theory of almost-periodic equations
• A solution procedure for second–order difference equations and its application to electromagnetic–wave diffraction in a wedge–shaped region
• Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
• Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
• Quantal phase factors accompanying adiabatic changes
• Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial
• WKB asymptotics of meromorphic solutions to difference equations
• The Complex WKB Method for Difference Equations and Airy Functions

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