Non-perturbative asymptotics of the eigenvalues of the spheroidal equation
Mathematical Physics
2025-08-19 v3 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.2503.06780,
title = {Non-perturbative asymptotics of the eigenvalues of the spheroidal equation},
author = {Max Meynig},
journal= {arXiv preprint arXiv:2503.06780},
year = {2025}
}
Comments
35 pages, 9 figures