A Note on the WKB Method for Difference Equations

DOI10.1093/imamat/34.3.295zbMath0577.39001OpenAlexW2066787126MaRDI QIDQ3699302

Paul Wilmott

Publication date: 1985

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/34.3.295

zbMATH Keywords

periodic solutionSchrödinger equationWKB methodHankel functionsEuler summation formulamotion of a stringsecond- order difference equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (4)

Asymptotic analysis of generalized Hermite polynomials ⋮ WKB (Liouville-Green) analysis of second order difference equations and applications ⋮ WKB estimates for \(2\times 2\) linear dynamic systems on time scales ⋮ Asymptotic analysis of the Hermite polynomials from their differential–difference equation

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