The complex WKB method for difference equations in bounded domains

DOI10.1007/S10958-017-3402-8zbMath1476.39025OpenAlexW2559111750MaRDI QIDQ1708318

Peng Zhang

Publication date: 5 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3402-8

zbMATH Keywords

asymptotic methodcomplex WKB methoddifference Schrödinger equation

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Discrete version of topics in analysis (39A12) Difference operators (39A70) Functional equations for complex functions (39B32)

Related Items (8)

Complex WKB method for a system of two linear difference equations ⋮ Complex WKB method (one-dimensional linear problems on the complex plane) ⋮ Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial ⋮ Semiclassical asymptotics of transition matrices for difference equations with two coalescing turning points ⋮ Semiclassical asymptotics for a difference Schrödinger equation with two coalescent turning points ⋮ WKB asymptotics of meromorphic solutions to difference equations ⋮ The Complex WKB Method for Difference Equations and Airy Functions ⋮ Difference equations in the complex plane: quasiclassical asymptotics and Berry phase

Cites Work

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