含时介观LC电路的双波描述

Double wave description of the time-dependent mesoscopic LC electric circuit

将量子的波理论应用于具有随时间变化的电容和电感的含时介观LC电路,给出了单一含时LC电路中电荷和磁通量(电流)的平均值和量子涨落,电荷和磁通量的平均值满足电路经典的运动方程. 在对电路的初始相位进行统计平均后,各量的平均值以及量子涨落回到标准量子力学的结果. 这些结果表明,双波理论能够描述单一的含时介观电路.

The quantum double wave theory is applied to the time-dependent mesoscopic LC electric circuit with time-dependent capacitance and inductance. The averages and quantum fluctuations of the electric charge and magnetic flux (electric current) are given for a single time-dependent LC electric circuit. The obtained averages of the electric charge and magnetic flux satisfy the classical equation of motion. After making statistical average over the initial phases, the average and quantum fluctuation of every quantity reduce to that derived by the standard quantum mechanics. These results show that the double wave theory can be used to describe a single time-dependent mesoscopic electric circuit.