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arXiv · 2503.06780

Non-perturbative asymptotics of the eigenvalues of the spheroidal equation

Max Meynig
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Abstract

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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Max Meynig. 2025-08-03. Non-perturbative asymptotics of the eigenvalues of the spheroidal equation. https://doi.org/10.1088/1751-8121%2Fadf7ea

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