A New Method to Solve the Spheroidal Wave Equations

• 作者: 田贵花
• 来源期刊: 中国物理快报(英文版)
• 学科: 数学
• 关键词: 波方程 超对称量子力学 特征值问题 椭球波函数 形状不变性 本征值问题 一般形式 摄动法
• 年，卷（期）: 2010,（3）
• 页码范围: 40-43
• 页数: 4页
• 分类号: O175.27 O413.1
• 语种: 英文

摘要

The perturbation method in supersymmetric quantum mechanics is used to study the spheroidal wave functions' eigenvalue problem. The super-potential are solved in series of the parameter α, and the general form of all its terms is obtained. This means that the spheroidal problem is solved completely in the way for the ground eigen-value problem. The shape invariance property is proved retained for the super-potential and subsequently all the excited eigen-value problem could be solved. The results show that the spheroidal wave equations are integrable.