Solve spheroidal wave functions by SUSY method

Details Solve spheroidal wave functions by SUSY method Solve spheroidal wave functions by SUSY method

2009-06-25

arxiv.org/abs/0906.4685v3

Physics

Quantum Physics

19pages

Scientific paper

The perturbation method in supersymmetric quantum mechanics (SUSYQM) is used to study the spheroidal wave functions' eigenvalue problem. Expanding the super-potential in series of the parameter alpha, the first order term of ground eigen-value and the eigen-function are gotten. In the paper, the very excellent results are that all the first two terms approximation on eigenfunctions obtained are in closed form. They give useful information for the involved physical problems in application of spheroidal wave functions.

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