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第四章 能带理论
第四章 能带理&#=
为 ，是任意函数．&#=
23545;于N个原子=
2452;成的晶格常数为的一维单原子&#=
38142;，其电子波函数满足．在玻恩-卡曼周=
6399;性边界下证明，为整数．
的简立方晶体&#=
65292;在近自由电子近似Ç=
79;，写出电子在第一布里渊区顶角ࡴ=
4;面心处的零级近似动&=
#33021;。
其中，为整数，为常量．
（1）画出此&=
#21183;能曲线，求出其平=
343;值；
（2）用近自&=
#30001;电子近似，求出晶=
307;电子的第一个和第二=
;个带隙宽度．
其中，为整数，为常量．
（1）证明势&=
#33021;函数的傅里叶展开=
335;为
&&& ，
&&& 其&=
#20013;．
（2）用近自&=
#30001;电子近似，求出晶=
307;电子的第一个和第二=
;个带隙宽度．
的周期场中运&=
#21160;。在近自由电子近=
284;下，计算电子的第一=
;个和第二个带隙宽度&#=
65292;其中& 0．
的周期场中运&=
#21160;。在近自由电子近=
284;下，计算电子的第一=
;个和第二个带隙宽度&#=
65292;其中& 0．
用近自由电子近似A=
292;求出布里渊区顶Š=
82;（，）处的能隙．
的二维正三角&#=
24418;晶格的s态电子=
3545;应的能带表达式．
的体心立方晶&#=
20307;的s态电子=
0340;能带表达式．
的面心立方晶&#=
20307;的s态电子=
0340;能带表达式．
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