中文摘要：

在对真空中介观电容耦合电路进行量子化的基础上，采用 Lewis-Riesenfeld 不变量理论及时间独立的哈密顿系统的知识对在热态下的电感耦合的介观电路中的量子涨落进行研究，并将结果与在绝对零度情况下进行比较。结果表明热态下介观耦合电路中的量子涨落与组成元件的参数和温度有关；并且电路系统在一定温度下的不确定关系比在绝对零度下更为明显，温度越高、涨落越明显。

英文摘要：

Based on the quantization of two meshes mesoscopic inductance coupled circuit in thermal state,the analysis of quantum fluctuations is presented by means of the Lewis-Riesenfeld invariant oper-ator for the time-dependent Hamiltonian system.Then we compared the result with that of absolute ze-ro.It is shown that the intensity of quantum fluctuations depends on not only the parameters of the cir-cuit components,but also the temperature.The higher the temperature,the more obvious the uncer-tainty relations.