| Bloch定理与散射平面波的干涉 |
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| 引用本文： | 袁晓俭,朱袆纬,胡望宇,王玲玲,王巍.Bloch定理与散射平面波的干涉[J].大学物理,2005,24(10):1-3. |
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| 作者姓名： | 袁晓俭 朱袆纬 胡望宇 王玲玲 王巍 |
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| 作者单位： | 湖南大学,应用物理系,湖南,长沙,410082;浙江大学,材料与化学工程学院,浙江,杭州,310058 |
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| 基金项目： | 湖南大学校科研和教改项目 |
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| 摘 要： | 从波动学的角度分析空晶格模型中的自由电子在周期性晶体势微扰作用下转变为晶体中Bloch电子的过程，揭示出了这一过程的物理实质，结果表明，在晶体势微扰作用下，代表空晶格模型中自由电子定态波函数的行进平面波在晶体内各点处产生了各种许可波矢的散射平面波，Bloch定理是晶体微观结构的平移对称性（即周期性）使得这些散射平面波产生干涉的结果。
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| 关 键 词： | Bloch定理 晶体势 散射平面波 平移对称性 干涉 |
| 文章编号： | 1000-0712（2005）10-0001-03 |
| 收稿时间： | 2004-03-08 |
| 修稿时间： | 2005-06-08 |
Bloch's theorem and interference of scattered plane wave |
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| YUAN Xiao-jian,ZHU Yi-wei,HU Wang-yu,WANG Ling-ling,WANG Wei.Bloch's theorem and interference of scattered plane wave[J].College Physics,2005,24(10):1-3. |
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| Authors: | YUAN Xiao-jian ZHU Yi-wei HU Wang-yu WANG Ling-ling WANG Wei |
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| Institution: | 1. Department of Applied Physics, Hunan University, Changsha 410082, China; 2. College of Materials Science and Chemical Engineering, Zhejiang University, Hangzhou 310058, China |
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| Abstract: | The physical essentials of the process that the free electron in empty-lattice model becomes Bloch's electron in crystal under the action of perturbing periodic potential are revealed by analysis from the point of view of wave theory.The result indicates that the propagating plane wave representing the wave function of the free election in empty-lattice model brings about various scattered plane waves everywhere in crystal under the action of perturbing crystalline potential,and it brings about Bloch's theorem that these scattered plane waves interfere with each other because of the translational symmetry or periodicity of crystalline structure. |
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| Keywords: | Bloch's theorem crystalline potential scattered plane wave translational symmetry interference |
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