以下为句子列表：
英文: For the mesoscopic metal ring system in external magnetic field, supposing the system has a symmetry under translation in charge space, the quantum current and the quantum energy spectrum in mesoscopic metal ring are given by solving thire eigenvalue equa
中文: 摘要针对处于外磁场中的介观金属环系统，假设在电荷空间中具有变换的对称性，通过求解本征值方程给出系统的量子电流、能谱关系；利用最小平移算符的性质等，计算介观金属环中电流和能量的量子涨落。
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英文: The results show that the quantum current and the quantum energy spectrum are not only related with the external magnetic field and the parameters of the mesoscopic metal ring, but depended on the quantization character of the charge evidently.
中文: 结果表明，量子电流、量子能谱不仅与外磁场、介观金属环电参数有关，而且还明显地依赖于电荷的量子化性质。
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