Some addition theorems for spin-weighted spherical harmonics
Mathematical Physics
2025-01-22 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the azimuthal quantum number of products of two spin-weighted spherical harmonics at different points on the two-sphere, either (or both) of which are differentiated with respect to one of their arguments.
Cite
@article{arxiv.2410.23201,
title = {Some addition theorems for spin-weighted spherical harmonics},
author = {Alessandro Monteverdi and Elizabeth Winstanley},
journal= {arXiv preprint arXiv:2410.23201},
year = {2025}
}
Comments
12 pages, added discussion of physical applications, other minor changes, version accepted for publication