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An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter

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arxiv 2205.02988 v1 pith:KYKCRZQI submitted 2022-05-06 math.CA math.AP

Takashi Aoki , Takao Suzuki , Shofu Uchida This is my paper · ORCID
classification math.CAmath.AP
keywords airyequationconnectionformulalargeparametersolutionsvoros
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The Voros connection formula for WKB solutions to the Airy equation with a large parameter is proved by using cubic equations. Some parts of the results are generalized to the Pearcey system, which is a two-variable version of the Airy equation, is given.

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  1. Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Exact WKB is used to compute geometric and higher-order exponential factors for twisted and nonlinear Landau-Zener transitions, including a predicted phantom transition without a level crossing.

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