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讨论了负电荷激子X-的能-光谱及其Aharonov-Bhom振荡.负电荷激子是三个带电粒子组成的体系,其基函数(基矢)数目大,数值计算艰巨.以往人们常把体系的空间波函数分离成质心运动和相对运动两部分来处理,这种方法误差大,只适用于外加磁场很小的情况.直接由体系的Hamilton量出发,基于角动量守恒,把基矢按总角动量分类.据此提出了一种简便的求解体系的本征矢和本征函数方案,使用该方法使计算时间节省了90%以上.所得计算结果没有抗磁现象,且计算结果与现有的实验数据符合很好.还讨论了环的半径、介质电容率和空穴的有效质量与ABO的关系.
The energy-spectrum and Aharonov-Bhom oscillations of negatively charged exciton X-ray are discussed. The negative charge exciton is a system composed of three charged particles with large number of basis functions (fundamental vectors) and arduous numerical calculation. In the past, The space wave function of the system is separated into two parts, mass-centripetal motion and relative motion, which is large in error and only suitable for the situation that the applied magnetic field is very small.On the basis of the Hamiltonian quantity of the system, based on the conservation of angular momentum, A method to solve eigenvectors and eigenfunctions of the system is proposed.Using this method, the computational time is saved by more than 90% .The calculated results have no diamagnetism and the results are in good agreement with the existing The experimental data are in good agreement with the ABO. The radius of the ring, dielectric permittivity and the effective mass of holes are also discussed.