对于一般形式的含时电容和电感耦合电路,利用Heisenberg对应原理研究了体系的量子经典对应关系以及量子涨落.通过海森堡绘景中的波函数和运动方程的精确解,在大量子数极限下由量子解得到了经典解.对矩阵元中初始相位求平均得到了体系中电荷和磁通量的量子涨落.当电路中的电感随时间指数增加,而电容指数减小时,电路中的电荷和电流的量子涨落也随时间指数减小;当两个分回路中的电容和电感不随时间变化且相等时,发现耦合电容趋于减小电流的量子涨落,而耦合电感趋于减小电荷的量子涨落.
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