中文摘要：

In this paper we solve spin-weighted spheroidal wave equations through super-symmetric quantum mechanics with a different expression of the super-potential.We use the shape invariance property to compute the 'excited' eigenvalues and eigenfunctions.The results are beneficial to researchers for understanding the properties of the spin-weighted spheroidal wave more deeply,especially its integrability.

英文摘要：

In this paper we solve spin-weighted spheroidal wave equations through super-symmetric quantum mechanics with a different expression of the super-potential. We use the shape invariance property to compute the ＂excited＂ eigenvalues and eigenfunctions. The results are beneficial to researchers for understanding the properties of the spin-weighted spheroidal wave more deeply, especially its integrability.