| 基于激发态的一维无限深势阱的等谱势 |
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| 引用本文： | 陈华英.基于激发态的一维无限深势阱的等谱势[J].南昌大学学报(工科版),2006,28(3):274-277. |
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| 作者姓名： | 陈华英 |
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| 作者单位： | 南昌大学,物理学系,江西,南昌,330047 |
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| 摘 要： | 超对称性量子力学形式可以利用激发态来生成超势,得到广义化超对称形式.利用广义化超对称形式,即使用一维无限深势阱对应的激发态波函数来生成超势,并通过逐次因子化方法,构造出了一系列与一维无限深势阱等能谱的新的势函数,即构造出了一个与一维无限深势阱等能谱的哈密顿量等级系统,而且能够得到该等级系统中所有的哈密顿量的能谱和能量本征函数.
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| 关 键 词： | 超对称性量子力学 哈密顿量等级系统 伴侣势 等谱势 一维无限深势阱 |
| 文章编号： | 1006-0456（2006）03-0274-04 |
| 收稿时间： | 2006-03-08 |
| 修稿时间： | 2006年3月8日 |
The Potentials Isospectral to Infinite One-dimensional Potential Well Based on Higher Excited States |
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| CHEN Hua-ying.The Potentials Isospectral to Infinite One-dimensional Potential Well Based on Higher Excited States[J].Journal of Nanchang University(Engineering & Technology Edition),2006,28(3):274-277. |
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| Authors: | CHEN Hua-ying |
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| Affiliation: | Department of Physics, Nanchang University, Nanchang 330047, China |
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| Abstract: | In this paper,the formalism of the supersymmetric quantum mechanics is generalized to the cases where the superpotential is generated by higher excited eigenstates.It is shown that generalized supersymmetric formali sm can be used to construct the potentials isospectral to infinite one-dimension al potential well by repeated refactorizations.Obviously,the hierarchy of Hami ltonians isospectral to infinite one-dimensional potential well is constructed a nd the energy eigenvalues and eigenfunctions of the Hamiltonians in the hierarch y are derived. |
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| Keywords: | SUSY QM hierarchy of hamiltonians partner potential isospectral potentials infinite one-dimensional potential well |
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