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用有限单元法计算量子阱结构本征值
引用本文:许怀哲.用有限单元法计算量子阱结构本征值[J].西安石油大学学报(自然科学版),1991(4).
作者姓名:许怀哲
作者单位:兰州物理研究所
摘    要:本文从有限元伽辽金(Galerkin)方法出发,提出了计算任意势能变化半导体量子阱本征值的有限元方法,在该方法中,有限元仅用在量子阱区域,而半无限势垒的贡献用解析式给出,通过计算方量子阱及截短抛物线型势阱本征值证实了该方法的有效性。

关 键 词:本征态  有限元  量子阱

Eigenstate Calcalation of Quautum Wells Structure by Finite-element Method
Xu Huaizhe.Eigenstate Calcalation of Quautum Wells Structure by Finite-element Method[J].Journal of Xian Shiyou University,1991(4).
Authors:Xu Huaizhe
Institution:Lanzhou Physics Research Institute
Abstract:The finite—element method based on the Galerkin procedure is developed for analysing the cigenstates in quantum wells with arbitrary potential profiles. Finite elements are employed only within the well region, and the contribution of the semi—infinite barrier is evaluated analytically. The validity of the method is confirmed by applying the present method to a few canonical quantum-mechanical problems.
Keywords:eigenstate  finite element  quantum well
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