有互感和电源的电容耦合电路的量子涨落

通过正则变换和幺正变换的方法研究了有互感和电源存在的情况下的介观电容耦合电路的量子涨落。结果表明电荷和电流的量子涨落与电源无关。当电路元件确定时，如果L1／L2的值很大或很小，耦合对涨落的影响很大。互感从有到无的过程中，回路1中电流的涨落和回路中2中电荷的涨落有明显的变化。换句话说，互感的有无对涨落的大小起着举足轻重的作用。

Quantum fluctuations of mesoscopic capacitance coupled circuit with mutual inductance and power source

The quantum fluctuations of charges and currents of mesoscopic capacitance coupled circuit with mutual inductance and power source were investigated by using canonical transformation and unitary transformation. The results show that the quantum fluctuations of charges and currents are independent of power source. When the components of the circuit are given, if the value of L_1/L_2 is very small or very large, the effect of coupling coefficient on quantum fluctuations of charges and currents are great. From no mutual inductance to having mutual inductance, the quantum fluctuation of charge of loop 2 and the quantum fluctuation of current of loop 1 are obvious. We can conclude that it play a very important role whether the mutual inductance exists or not.