| 关于第n布里渊区体积等于倒格子原胞体积的证明 |
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| 引用本文： | 邵华圣.关于第n布里渊区体积等于倒格子原胞体积的证明[J].大学物理,2009,28(2). |
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| 作者姓名： | 邵华圣 |
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| 作者单位： | 北京大学,物理学院,北京,100871 |
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| 摘 要： | 通过证明Wigner-Seitz原胞的体积等于原胞体积,说明第一布里渊区体积等于倒格子原胞体积;对于第n布里渊区和第n-1布里渊区建立保长同胚映射证明两者体积相等.
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| 关 键 词： | 布里渊区 保长同胚 反演对称性 Wigner-Seitz原胞 |
The proof about the equation of volume of the n-th Brillouin zone and the volume of reciprocal's primitive cell |
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| SHAO Hua-sheng.The proof about the equation of volume of the n-th Brillouin zone and the volume of reciprocal's primitive cell[J].College Physics,2009,28(2). |
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| Authors: | SHAO Hua-sheng |
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| Institution: | Physics school;Peking University;Beijing 100871;China |
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| Abstract: | By proving the equation of the volume of Wigner-Seitz primitive cell and the volume of primitive cell,we conclude that the volume of the first Brillouin zone is identical to the volume of reciprocal's primitive cell.We establish an isometric hemeomorphism mapping between the n-th and(n-1)-th Brillouin zone to prove the equation of their volume. |
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| Keywords: | Brillouin zone isometric hemeomorphism mapping inversion symmetry Wigner-Seitz primitive cell |
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