Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method

• Published in: Chinese physics B Vol. 20; no. 1; pp. 121 - 127
• Main Author: 唐文林 田贵花
• Format: Journal Article
• Language: English
• Published: IOP Publishing 2011
• Subjects: 椭球波函数; 波方程; 特征值; 特征函数; 超对称量子力学; 量子力学方法
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/20/1/010304

The spheroidal wave functions are found to have extensive applications in many branches of physics and mathematics. We use the perturbation method in supersymmetric quantum mechanics to obtain the analytic ground eigenvalue and the ground eigenfunction of the angular spheroidal wave equation at low frequency in a series form. Using this approach, the numerical determinations of the ground eigenvalue and the ground eigenfunction for small complex frequencies are also obtained.