椭球波函数的积分性质
The integral property of the spheroidal wave functions
摘要：
利用超对称量子力学中的微扰方法（SUSYQM）研究了球型方程组是否具有形状不变性。将超势在参数α中逐项展开并求解，我们发现超势在第二项时失去了形状不变性。这首先意味着我们不能解决的球形问题的SUSQM;进一步说，这是不合理的，在某种意义上说，他们是不可解的。
英文摘要：
The perturbation method in supersymmetric quantum mechanics (SUSYQM) is used to study whether the spheroidal equations have the shape-invariance property. Expanding the super-potential term by term in the parameter alpha and solving it, we find that the superpotential loses its shape-invariance property upon to the second term. This first means that we could not solve the spheroidal problems by the SUSQM; further it is not unreasonable to say they are non-solvable in some sense.
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。
