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中文摘要：
研究Paul阱中共面两离子体系精确的量子运动．在考虑库仑关联的条件下，得到了系统Schroedinger方程的精确解和以此为基础的微扰解，包括精确的离散本征态和本征能量，以及近似的分段连续谱和能带结构．以低能级的几个态为例，用数值方法计算了两离子间的平均距离，并绘出了两离子的概率分布图．
英文摘要：
We investigate the exact quantum motions of two ions in a two-dimensional Paul trap. When the Coulomb-correlation of the system is considered, we obtain a set of exact solutions of the system and the corresponding perturbed solutions, containing the exact discrete eigenstates and eigenenergies, and the approximate piecewise continuous spectra and the band structure. Taking several quantum states with lower quantum numbers as examples, we compute the average distances between two ions and give the plots of probability distribution of the two ions.
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