| Bloch定理的严格证明及晶体电子态研究 |
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| 引用本文： | 方可. Bloch定理的严格证明及晶体电子态研究[J]. 四川师范大学学报(自然科学版), 1992, 0(5) |
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| 作者姓名： | 方可 |
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| 作者单位： | 四川师范大学物理系 |
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| 摘 要： | 本文用群论严格地证明Bloch定理和系统地讨论晶体中电子态的一般性质而不用解Schro-dinger方程.主要结论是:电子能级分裂为能带;波函数具有平面波与周期函数相乘积的形式,即所谓Bloch函数.所有能带和波函数都用两个好量子数R和K来描写.这些函数形成平移算符{T(R_n)}和哈密顿算符H的共同本征函数完全集合,并具有正交归-性.
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| 关 键 词： | Bloch定理 晶体电子态 能带 |
STRICT PROOF ON BLOCH''''S THEOREM AND RESEARCH ON ELECTRONIC STATES IN A CRYSTAL |
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| Fang Ke. STRICT PROOF ON BLOCH''''S THEOREM AND RESEARCH ON ELECTRONIC STATES IN A CRYSTAL[J]. Journal of Sichuan Normal University(Natural Science), 1992, 0(5) |
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| Authors: | Fang Ke |
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| Affiliation: | Fang Ke Department of Physics |
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| Abstract: | In this paper, Bloch's theorem is proved exactly by grouop theory, and the general properties of the electronic states in acrystal are systematically discussed without solving Schrodinger equation. The main conclussions follows: the levels ofan electron are split into band energies and the wave functions have the product form of a plane wave and a period function,i. e. Bloch functions. All band energies and wave functions are describid by two good quantum numbers n and k. Thesefunctions form a complete set of the simultaneous eigenfuinctionsof the displacement operators{T(R)} and the HamiltonianH. and are orthonormal each other. |
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| Keywords: | Bloch's theorem electron states in a crystal band energy |
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