摘要
采用单电子近似方法求解薛定谔方程,研究了椭圆形量子线中电子和空穴的基态能量及其受磁场的影响.详细描述了能量哈密顿算符在原子单位与国际单位之间的换算及处理粒子有效质量失配及空穴有效质量各向异性的一种方法,数值结果表明,磁场的约束使得粒子的基态能量增加,粒子的基态能量随着椭圆坐标中的参数的增大而减小.本文所用的方法可推广到其他类似物理模型的薛定谔方程的求解中.
Schrodinger equations of electron and hole in elliptical quantum wire have been solved by u- sing single-active electron （SAE） approximation and the ground-state energies of electron and hole affected by the magnetic field applied along x-axis have been studied. The conversion of Hamilton between atomic unit and international unit and a method of dealing with the mass mismatch of the particles and anisotropic effective mass of the hole have been represented in detail. The confine of a magnetic field makes the ground-state energy of the particles increases and the ground-state energy of the particles decreases as the parameterin elliptic coordinate increases. The method used in this paper can be extended to the study of solving Schrodinger equation in other similar physical models.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2015年第5期463-467,共5页
Journal of Hebei University(Natural Science Edition)
基金
河北省科技计划基金资助项目(12210617)
华北理工大学轻工学院科学研究基金资助项目(qy201205)
关键词
磁场
椭圆形量子线
电子
空穴
magnetic field
elliptical quantum wire
electron
hole
