紧束缚近似的物理图景  

The Physical Prospect of the Tight Binding Approximation

作　　者：孙运斌[1] 吴鸿业[1] 徐宝[1] 赵建军[1] 鲁毅[1] 

机构地区：[1]包头师范学院物理科学与技术学院,内蒙古包头014030

出　　处：《阴山学刊（自然科学版）》2015年第4期76-79,共4页Yinshan Academic Journal(Natural Science Edition)

摘　　要：紧束缚近似是固体物理课程的重点和难点之一,各类教材使用原子轨道波函数与布洛赫电子状态间傅立叶变换的方式对这一问题进行处理,尽管大大简化了数学过程,但难以使学生建立起对于能带电子态特征的直观认识。通过分析布洛赫电子态与原子轨道电子态间物理关联,以及讨论布洛赫波能量中各项的物理意义,有助于学生对于紧束缚能带与原子轨道间的联系与区别建立一个较为直观的认识。对于固体物理课堂教学具有一定的促进作用。Tight - binding approximation is one of mostly important conception in solid state physics. When the overlap integral between atomic orbits were ignored, the Bloch states of crystal can be get by the linear superposi- tion of atomic orbit. Using the Fourier transform methods, this method can be simply argued, but the relationship between atomic orbit and Bloch states was not clear. The relationship between atomic orbit and Bloch states was dis- cussed, and the origin of integral items in the energy of Bloch states was analyzed. Those discussion will be usefully to improve the students＇ understanding on the tight - binding approximation method. It will be helpfully to improve the didactical effect in solid state physics.

关 键 词：固体物理 紧束缚近似 原子轨道 布洛赫波 

分 类 号：G642.421[文化科学—高等教育学]