Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points

DOI10.1134/S0001434621050345zbMath1476.39022OpenAlexW3179201075MaRDI QIDQ2037758

Yanyan Li

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621050345

zbMATH Keywords

semiclassical approximationdifference Schrödinger equationcoalescent turning points

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Discrete version of topics in analysis (39A12) Difference equations in the complex domain (39A45)

Related Items (2)

On a class of functionals Feynman integrable in the sense of analytic continuation ⋮ Semiclassical asymptotics of transition matrices for difference equations with two coalescing turning points

Cites Work

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• Linear turning point theory
• The complex WKB method for difference equations in bounded domains
• Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states
• The Ten Martini problem
• Monodromization method in the theory of almost-periodic equations
• Second-order linear differential equations with two turning points
• Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial
• Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum
• The Complex WKB Method for Difference Equations and Airy Functions

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