| 在s=3/2情形下利用超对称量子力学方法解广义椭球函数 |
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| 引用本文： | 郭维奇,田贵花,董锟.在s=3/2情形下利用超对称量子力学方法解广义椭球函数[J].物理学报,2012,61(12):121101-121101. |
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| 作者姓名： | 郭维奇 田贵花 董锟 |
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| 作者单位： | 北京邮电大学理学院,北京,100876 |
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| 摘 要： | 本文利用超对称量子力学的方法研究出广义椭球函数. 首先, 用超对称量子力学方法近似的算出前四阶超势W和相应本征值E, 然后递推出Wn的通式, 并利用数学归纳法来证明Wn通式的正确性, 从而得到了此时的广义椭球函数方程的基态波函数, 这对于它们的应用有很大的意义.
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| 关 键 词： | 超势 基态波函数 超对称量子力学 广义椭球函数 |
| 收稿时间： | 2011-09-26 |
Solving the spheroidal wave equation with s=3/2 by super-symmetric quantum mechanic |
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| Guo Wei-Qi,Tian Gui-Hua,Dong Kun.Solving the spheroidal wave equation with s=3/2 by super-symmetric quantum mechanic[J].Acta Physica Sinica,2012,61(12):121101-121101. |
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| Authors: | Guo Wei-Qi Tian Gui-Hua Dong Kun |
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| Institution: | School of Science, Beijing University of Posts And Telecommunications, Beijing 100876, China |
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| Abstract: | In the paper, we use the method of super-symmetric quantum mechanics to study the spin-weighted spheroidal wave equation in the case of s=3/2. We first change the equation into Schrödinger's form, then calculate and derive the first four terms concerning E and super-potential W. we summarize the general formula of super-potential Wn and use mathematical induction to prove its correctness. In turn, this completely gives all the information about the ground eigenvalue and eigenfunction. |
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| Keywords: | spin-weighted spheroidal wave equation super-symmetric quantum mechanics super-potential exited state wave functions |
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