2015/11/30 by Kun Dong, Dong, Kun, Guihua Tian +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1512.00514
arXiv admin note: substantial text overlap with arXiv:1011.2579
arxiv created 2015/11/30 · arxiv updated 2015/12/03
In this paper, we use the means of super-symmetric quantum mechanics to study of the Spin-weighted Spheroidal Wave in the case of s=3/2. We obtain some interesting results: the first-five terms of the super-potential, the general form of the super-potential. The ground eigen-function and eigenvalue of the equation are also given. According these results, we make use of the shape invariance property to compute the exited eigenvalues and eigen-functions. These results help us to understand the Spin-weighted Spheroidal Wave and show that it is integral.