| 时间周期势薛定谔方程的Floquet散射解 |
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| 引用本文： | 夏维国,周光辉.时间周期势薛定谔方程的Floquet散射解[J].湖南师范大学自然科学学报,2007,30(4):54-56,64. |
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| 作者姓名： | 夏维国 周光辉 |
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| 作者单位： | 1. 湖南师范大学物理与信息科学学院,中国,长沙,410081;湖南工业大学冶金校区,中国,株洲,412000
2. 湖南师范大学物理与信息科学学院,中国,长沙,410081 |
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| 基金项目： | 湖南省自然科学基金资助项目(06JJ2097) |
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| 摘 要： | 用分离变量法求时间周期势二维薛定谔方程的Floquet散射解.先引入一振荡函数因子,将时间周期势薛定谔方程化为势函数中不含时间的方程,然后用分离变量法直接求得其Floquet散射解,并讨论了解的物理意义和应用.
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| 关 键 词： | 薛定谔方程 时间周期势 Floquet解 |
| 文章编号： | 1000-2537（2007）04-0054-03 |
| 收稿时间： | 2007-08-09 |
| 修稿时间： | 2007-08-09 |
Floquet Scattering for a Time-Dependent Schrodinger Equation |
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| XIA Wei-guo,ZHOU Guang-hui.Floquet Scattering for a Time-Dependent Schrodinger Equation[J].Journal of Natural Science of Hunan Normal University,2007,30(4):54-56,64. |
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| Authors: | XIA Wei-guo ZHOU Guang-hui |
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| Institution: | 1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China; 2. College of Metallurgy, Hunan University of Technology, Zhozhou 412000, China |
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| Abstract: | The Floquet scattering solution for a two-dimensional Schrodinger equation with time periodic potential is studied.With the help of a factor of oscillation function the potential in Schrodinger equation is became time-independent,then the Floquet scattering solution is obtained by the method of variable separation.The physical meaning and the application for this solution is also discussed. |
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| Keywords: | Schrodinger equation time periodic potential Floquet solution |
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