| Kronig-Penney模型的超对称伙伴势及其精确解 |
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| 引用本文： | 朱涛. Kronig-Penney模型的超对称伙伴势及其精确解[J]. 贵州师范大学学报(自然科学版), 2005, 23(4): 82-86 |
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| 作者姓名： | 朱涛 |
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| 作者单位： | 贵州大学,材料科学与冶金工程学院,贵州,贵阳,550003 |
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| 基金项目： | 致谢：文章得到老师刘克家教授的指导. |
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| 摘 要： | 对Kron ig-Penney模型进行Darboux变换,获得了一种新的精确可解周期势能函数,给出了此新势的本征能量及对应的定态波函数。通过计算机的数值运算,给出了具体的一个有限深K-P模型的能带数值解,定量得出了其能带结构。
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| 关 键 词： | 超对称量子力学 超对称变换 Kronig-Penney模型 能带 |
| 文章编号： | 1004-5570（2005）04-0082-05 |
| 收稿时间： | 2005-03-07 |
| 修稿时间： | 2005-03-07 |
Exact solution for super-symmetric partner potential of Kronig-Penney model |
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| ZHU Tao. Exact solution for super-symmetric partner potential of Kronig-Penney model[J]. Journal of Guizhou Normal University(Natural Sciences), 2005, 23(4): 82-86 |
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| Authors: | ZHU Tao |
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| Affiliation: | School of Materials Science and Metallurgy Engineering, Guizhou University, Guiyang, Guizhou 550003, China |
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| Abstract: | By using the Darboux transformation on the Kronig-Penney model, a new kind of periodic potential is exactly obtained, i. e. both the eigen-energies and the wave functions for it are obtained, which is the super-symmetric partner of the Kronig-Penny model. We also derive the exact numeric solution of energy band for the model with finite deepness of periodic wells by computer calculation. |
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| Keywords: | super-symmetric quantum mechanics Darboux transformation Kronig-Penney model energy band |
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