Abstract 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.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10875018 and 10773002).
Cite this article:
Tang Wen-Lin(唐文林) and Tian Gui-Hua(田贵花) Solving ground eigenvalue and eigenfunction of spheroidal wave equation at low frequency by supersymmetric quantum mechanics method 2011 Chin. Phys. B 20 010304
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