| 任意势能量子阱本征值有限元计算方法 |
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| 引用本文： | 许怀哲,王印月.任意势能量子阱本征值有限元计算方法[J].甘肃科学学报,1992,4(2):54-58. |
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| 作者姓名： | 许怀哲 王印月 |
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| 作者单位： | 兰州大学物理系，兰州大学物理系 兰州 730001，兰州 730001 |
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| 摘 要： | 本文提出了计算任意势能分布量子阱的有限元方法,该方法从Galerkin(伽辽金)有限元方法出发,采用三级线元作为有限元以及熟知的边界条件,即波函数及其一阶导数除以电子有效质量在边界处连续。通过计算GaAs/AlGaAs方型量子阱本征值证实了该方法的有效性。
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| 关 键 词： | 有限元 量子阱 特征值 |
FINITE-ELEMENT ANALYSIS OF QUANTUM WELLS WITH ARBITRARY POTENTIAL PROFILE |
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| Xu Huaizhe and WangYinyue..FINITE-ELEMENT ANALYSIS OF QUANTUM WELLS WITH ARBITRARY POTENTIAL PROFILE[J].Journal of Gansu Sciences,1992,4(2):54-58. |
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| Authors: | Xu Huaizhe and WangYinyue |
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| Abstract: | A finite- element method for the analysis of eigenstates in a quantum well, which has arbitrary potential profile, is developed. The method is based on the Galerkin procedure, and third order hermitian line elements are made for finite elements. The boundary condition has the well-known form that the envelope function, and its derivatives divided by effective mass are continuous at the interfaces. The validity of the method is confirmed by calculating the eigenstates of GaAs/AlGaAs rectangular quantum well. |
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| Keywords: | Eigenstate finite-element quantum well |
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