自旋加权球谐函数的升、降算符
Raising and Lowering operators of spin-weighted spheroidal harmonics
摘要：
本文将自旋加权球谐函数的自旋升降算子推广到线性$γ$自旋加权球谐函数，其中$γ$是控制这些球谐函数的二阶常微分方程中的一个附加参数.然后可以将这些算子推广到$γ$中的更高幂。构造这些算子需要计算本文已计算并明确显示的自旋加权球谐函数的$\ell$ -、$s$ -和$m$ -升降算子（以及它们的各种组合）。
英文摘要：
In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in-$γ$ spin-weighted spheroidal harmonics where $γ$ 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 $γ$. 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
