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本文在质心坐标系中讨论了分数量子Hall效应的少粒子体系。推导了一个适用于任意电子数的对体系电子角动量的可能组合加以限制的关系式。利用这一约束条件,体系哈密顿量的本征方程阶数大大削减,从而减少了数值计算的工作量。进一步,我们在质心坐标系中计算了当前计入正电背景影响用得较多的均匀正电背景模型和局域电中性模型的能量本征值作了数值计算。The fractional quantum Hall effect system is analysed in the mass centre coordinate. An equation which restricts the combination of the single electron angular momentum is obtained. By using this restrictive relation, the dimension of the Hamiltonian eigenequations could be reduced. We also calculated the eigenenergies in the mass centre coordinate with the effect of the neutralizing background charges included.
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