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arXiv 0906.4685quant-ph
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用SUSY方法求解球面波函数

Solve spheroidal wave functions by SUSY method

Guihui Tian, Shuquan Zhong

摘要:

利用超对称量子力学中的微扰方法研究了球对称波函数的本征值问题。将超势按参数α展开,得到了基态本征值的一阶项和本征函数。本文得到的本征函数的前两项近似都是封闭的。这些结果为球波函数应用中所涉及的物理问题提供了有用的信息。

英文摘要:

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.

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。

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