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双电子平面量子点基态能量的计算
引用本文:郑文礼,李志文,孙艳秀,李春江. 双电子平面量子点基态能量的计算[J]. 计算物理, 2008, 25(5): 617-622
作者姓名:郑文礼  李志文  孙艳秀  李春江
作者单位:承德民族师范高等专科学校物理系,河北,承德,067000;中国科学院半导体研究所半导体超晶格国家重点实验室,北京,100083;承德民族师范高等专科学校物理系,河北,承德,067000
摘    要:由于库仑作用,目前的研究还得不到双电子平面量子点基态波函数和基态能量的精确解析解.分别利用微扰法、精确对角化方法和变分法,计算双电子平面量子点的基态能量,与早期的无约束哈特利-福克研究结果比较,发现三参量的变分波函数是基态的极好表征.且能对多电子平面量子点的基态描述提供参考.

关 键 词:量子点  抛物势  基态能量
收稿时间:2007-04-28
修稿时间:2007-09-26

Ground-state Energy of a Planar Quantum Dot with Two Electrons
ZHENG Wenli,LI Zhiwen,SUN Yanxiu,LI Chunjiang. Ground-state Energy of a Planar Quantum Dot with Two Electrons[J]. Chinese Journal of Computational Physics, 2008, 25(5): 617-622
Authors:ZHENG Wenli  LI Zhiwen  SUN Yanxiu  LI Chunjiang
Affiliation:1. Department of Physics, Chengde Teacher's College of Nationality, Chengde 067000, China;2. National Laboratory for Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
Abstract:Ground-state energy of a planar quantum dot with two electrons is calculated with perturbation theory,numerically exact diagonalization and variational theory.Compared with earlier unrestricted Hartree-Fock studies,it is shown that a three-parameter variational wave function is an excellent representation of true ground state.It provides references for the understanding of planar quantum dots with more electrons.
Keywords:quantum dot  parabolic confinement potential  ground-state energy
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