Some addition theorems for spin-weighted spherical harmonics
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913655301341184 |
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| author | Monteverdi, Alessandro Winstanley, Elizabeth |
| author_facet | Monteverdi, Alessandro Winstanley, Elizabeth |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23201 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some addition theorems for spin-weighted spherical harmonics Monteverdi, Alessandro Winstanley, Elizabeth Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Some addition theorems for spin-weighted spherical harmonics |
| topic | Mathematical Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.23201 |