Non-perturbative asymptotics of the eigenvalues of the spheroidal equation
arXiv:2503.06780 · doi:10.1088/1751-8121/adf7ea
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.
35 pages, 9 figures