Asymptotic spectrum of the oblate spin-weighted spheroidal harmonics: a WKB analysis
arXiv:1304.0529 · doi:10.1016/j.physletb.2012.09.057
Abstract
Spin-weighted spheroidal harmonics play a central role in the mathematical description of diverse physical phenomena, including black-hole perturbation theory and wave scattering. We present a novel and compact derivation of the asymptotic eigenvalues of these important functions. Our analysis is based on a simple trick which transforms the corresponding spin-weighted spheroidal angular equation into a Schrödinger-like wave equation which is amenable to a standard WKB analysis.
4 pages
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