Exact WKB Analysis of Schrödinger Equations with a Stokes Curve of Loop Type

DOI10.1619/fesi.62.1zbMath1435.34090OpenAlexW2945090784MaRDI QIDQ5234844

Kohei Iwaki, Toshinori Takahashi, Takashi Aoki

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.62.1

zbMATH Keywords

exact WKB analysisStokes automorphism

Mathematics Subject Classification ID

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)

Related Items (9)

Quantization condition from exact WKB for difference equations ⋮ On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ Existence and uniqueness of exact WKB solutions for second-order singularly perturbed linear ODEs ⋮ The exact WKB analysis and the Stokes phenomena of the Unruh effect and Hawking radiation ⋮ Topological recursion and uncoupled BPS structures. II: Voros symbols and the \(\tau\)-function ⋮ The exact WKB analysis for asymmetric scalar preheating ⋮ Voros coefficients for the hypergeometric differential equations and Eynard-Orantin's topological recursion. I: For the Weber equation ⋮ On the WKB theoretic transformation to the boosted Airy equation ⋮ Reconstructing GKZ via topological recursion

Cites Work

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