The WKB method and differential consequences of the Riccati equation

DOI10.1134/S0001434611050294zbMath1232.34114OpenAlexW2059938209WikidataQ115253959 ScholiaQ115253959MaRDI QIDQ650513

Nikolay L. Chuprikov

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434611050294

zbMATH Keywords

turning pointRiccati equationWKB methodAiry functionPlanck constantdifferential consequences of the Riccati equationMaslov method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Cites Work

• Divergence-free WKB theory
• New family of asymptotic solutions of Helmholtz equation
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