Bloch定理与散射平面波的干涉  

Bloch's theorem and interference of scattered plane wave

作　　者：袁晓俭[1] 朱祎纬 胡望宇[1] 王玲玲[1] 王巍[1] 

机构地区：[1]湖南大学应用物理系,湖南长沙410082 [2]浙江大学材料与化学工程学院,浙江杭州310058

出　　处：《大学物理》2005年第10期1-3,共3页College Physics

基　　金：湖南大学教育教学改革工程资助项目(2002-036200309C)

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.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.

关 键 词：BLOCH定理 晶体势 散射平面波 平移对称性 干涉 

分 类 号：O481.1[理学—固体物理]