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Non-perturbative asymptotics of the eigenvalues of the spheroidal equation

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arxiv 2503.06780 v3 pith:UURCO6YM submitted 2025-03-09 math-ph hep-thmath.MP

Max Meynig This is my paper · ORCID
classification math-phhep-thmath.MP
keywords non-perturbativeeigenvaluesequationperturbativeresultsspheroidalanalysisasymptotics
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New non-perturbative results on the eigenvalues of the spheroidal equation are presented. The results, found using an all orders WKB analysis, include a perturbative/non-perturbative (P/NP) relation as well as the first exponential correction to the perturbative series which is valid in certain regions of parameters. The quantum periods are also computed.

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  1. Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.

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