介观RLC电路零状态响应的线性时不变特性

Complete solution of zero-state response in mesoscopic RLC circuit

采用代数动力学规范变换方法,求出含时变电压源的介观RLC电路量子态随时间演化算符的精确解。以及电荷、电流对输入电压信号的零状态响应,结果表明介观RLC电路系统具有线性时不变特性,且电荷与电流的零状态响应与宏观RLC电路的结果相同.

The exact solution of time evolution operator was obtained by applying the gauge transform of algebra dynamics. Such an operator describes the quantum state of time dependence of mesoscopic RLC circuit containing voltage source. The charge and current zero-state response of the import voltage signal in mesoscopic RLC circuit were acquired, The result shows that the system of mesoscopic RLC circuit has linear time invariant feature, and the response in mesoscopic RLC circuit is the same as that in the macroscopic RLC circuit.