大学物理 ›› 2005, Vol. 24 ›› Issue (10): 1-1.

• 著者文摘 •    下一篇

Bloch定理与散射平面波的干涉

袁晓俭 [1] 朱袆纬 [2] 胡望宇 [1] 王玲玲 [1] 王巍 [1]   

  1. 湖南大学,应用物理系,湖南,长沙,410082[1] 浙江大学,材料与化学工程学院,浙江,杭州,310058[2]
  • 出版日期:2005-10-25 发布日期:2005-10-20

Bloch's theorem and interference of scattered plane wave

  • Online:2005-10-25 Published:2005-10-20

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.

关键词: Bloch定理, 晶体势, 散射平面波, 平移对称性, 干涉

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.

Key words: Bloch' s theorem, crystalline potential, scattered plane wave, translational symmetry, interference

中图分类号: 

  • O481.1