Non-perturbative asymptotics of the eigenvalues of the spheroidal equation

Published 9 Mar 2025 in math-ph, hep-th, and math.MP | (2503.06780v2)

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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Authors (1)

Max Meynig

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