| s=2时广义椭球函数试探性研究 |
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| 引用本文： | 李凯,孙越,田贵花,唐文林. s=2时广义椭球函数试探性研究[J]. 中国科学:物理学 力学 天文学, 2011, 0(6): 729-735 |
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| 作者姓名： | 李凯 孙越 田贵花 唐文林 |
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| 作者单位： | 北京邮电大学理学院; |
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| 基金项目： | 国家自然科学基金资助项目(批准号:10875018,10773002) |
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| 摘 要： | 利用超对称量子力学方法试探性的推导出s=2时广义椭球函数的形式.使用超对称量子力学方法近似的计算出前几阶超势和广义椭球函数的本征值;之前所求得的超势和本征值推导出广义椭球函数一阶基态波函数,并根据势的形不变特性求出相应的激发态波函数.该超对称量子力学方法的引入及一阶基态波函数形式将有利于广义椭球函数深入研究.
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| 关 键 词： | 广义椭球波动方程 超对称量子力学 超势 Teukolsky方程 |
A tentative study of the spheroidal wave function in the case of s=2 |
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| LI Kai,SUN Yue,TIAN GuiHua & TANG WenLin School of science,Beijing University of Posts , Telecommunications,Beijing ,China. A tentative study of the spheroidal wave function in the case of s=2[J]. SCIENCE CHINA Physics, Mechanics & Astronomy, 2011, 0(6): 729-735 |
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| Authors: | LI Kai SUN Yue TIAN GuiHua & TANG WenLin School of science Beijing University of Posts Telecommunications Beijing China |
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| Affiliation: | LI Kai,SUN Yue*,TIAN GuiHua & TANG WenLin School of science,Beijing University of Posts and Telecommunications,Beijing 100876,China |
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| Abstract: | In this paper, we will try to solve the spin-weighted spheroidal wave equations in the case of s=2 by the method of super-symmetric quantum mechanics. First of all, we utilize the method of super-symmetric quantum mechanics to calculate approximately the super-potential and the ground eigenvalues of spheroidal functions in the first several terms, which gives the ground eigenfunction in the first several terms. Then, we make use of the shape-invariance property of potential to calculate the corresponding wa... |
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| Keywords: | spin-weighted spheroidal wave equation super-symmetric quantum mechanics super-potential Teukolsky equation |
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