On the WKB theoretic transformation to the boosted Airy equation
DOI10.1080/10652469.2021.1878167zbMath1490.34115OpenAlexW3173439599MaRDI QIDQ5154037
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Publication date: 1 October 2021
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2021.1878167
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)
Cites Work
- On the WKB-theoretic structure of a Schrödinger operator with a merging pair of a simple pole and a simple turning point
- On the exact WKB analysis of second order linear ordinary differential equations with simple poles
- Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation
- Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation
- Exact WKB Analysis of Schrödinger Equations with a Stokes Curve of Loop Type
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