【摘要】 对于电容和电感含时的阻尼电感耦合电路,在考虑电子和声子相互作用的情况下,实现了体系的量子化,并研究了其中的量子涨落.在所研究的电感耦合电路中,分回路和耦合部分都有电阻存在.当电容和电感不随时间变化时,物理量的演化首先经历一个振荡衰减的过程,然后达到一个稳定的状态.电路到达稳态后,若两个分回路中的电容和电感相同,并且电阻趋于0,则量子涨落回到无阻尼电路的结果.更多还原

【Abstract】 For the damped inductive coupled electric circuit with time-dependent inductances and capacitances,the system is quantized with the electron-phonon interaction included and the quantum fluctuations are calculated.In the studied coupled circuit,there are resistances both in the component circuits and in the coupling part.When the inductances and the capacitances are independent of time,the physical quantities will first decrease with oscillations and then reach a stable state.At the stable state,if the inductances and capacitances in the two component circuits are the same and the resistances go to zero,the quantum fluctuations will tend to that of the undamped circuit.更多还原