中文摘要：

定量讨论了可控外加均匀电场对量子环上负电荷激子的能-光谱及其AB振荡的影响。文中计算光谱的结果与实验值符合很好。负电荷激子是三个带电粒子的体系,构成本征函数的基矢数以及哈密顿矩阵元都极大,数值计算艰浩。文中提出如何选定基矢组Γ（Kmin,Kmax）以减少基矢数及保证因基矢组的选择所引起的误差极小的方法。为验证基矢组Γ（Kmin,Kmax）的可靠性,还提出了对构成波函数中基矢K的比重D（K）的分析方法。并对哈密顿矩阵元〈H〉中的动能项〈T〉、库仑作用项〈V〉、外加电场作用项〈E〉与环半径R的关系进行了讨论。

英文摘要：

The present paper discusses quantitatively the energy-optical spectrum and the AB oscillation of a negatively charged exciton on a quantum ring,under the influence of an uniform external electric field.The calculated optical spectrum agrees well with the experimental measurement.A negatively charged exciton is a system of three charged objects,making the numerical computations difficult due to the large size of the basic vector set and the Hamiltonian matrix.In this paper,a method is proposed to select an appropriate basic vector set Γ（Kmin,Kmax） in order to reduce the number of basic vectors and to ensure minimal error due to the selection of the basic vectors. To verify the reliability of the suggested basic vector set Γ（Kmin,Kmax）,the authors also proposed a method to analyze D（K） which is the weight of the K component of the basic vector.The kinetic energy term 〈T〉 and the Coulomb action term 〈V〉 in the Hamiltonian,as well as the relationship between the external electric field term 〈E〉 and the radius of the ring R,are also discussed.