中文摘要：

从无耗散介观电感耦合电路的经典运动方程出发，运用线性变换的方法对电路进行量子化，在此基础上计算了激发相干态下电路中电荷、电流的量子涨落。结果表明，在未接电源时各回路电荷、电流的平均值和方均值坷不为零，存在量子涨落，涨落大小不仅取决于回路自身的参数，还与另一回路参数以及耦合电感参数有关，即两回路的量子噪声是相互关联的，而且它们还明显地依赖于电路所处的状态参数，即粒子数态参数和相干态参数。

英文摘要：

Starting from the Classical movement equation of a non-dissipative inductance coupled mesoscopic circuit, the circuit is quantized by using linear transformation method, and the quantum fluctuations of currents and charges at excited coherent states are calculated. The results show that the average and square average of current and charge of each loop are not zero without power, i.e., there exist quantum fluctuations. And the fluctuations are not only determined by the loop parameters, but also related to another loop＇s parameters and coupled inductance parameters. The quantum fluctuations in two circuits are relevant, and obviously depend on the state parameters of circuits, i.e., parameters of particle count states and coherent states.