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arXiv · 1503.02618

Raising and Lowering operators of spin-weighted spheroidal harmonics

Abhay G. Shah·Bernard F. Whiting
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Abstract

In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in-$\gamma$ spin-weighted spheroidal harmonics where $\gamma$ is an additional parameter present in the second order ordinary differential equation governing these harmonics. One can then generalize these operators to higher powers in $\gamma$. Constructing these operators required calculating the $\ell$-, $s$- and $m$-raising and lowering operators (and various combinations of them) of spin-weighted spherical harmonics which have been calculated and shown explicitly in this paper.

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Abhay G. Shah, Bernard F. Whiting. 2015-03-09. Raising and Lowering operators of spin-weighted spheroidal harmonics. https://doi.org/10.1007/s10714-016-2064-z

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