介观LC电路零状态响应的完全解

The complete solution of zero-state responsein mesoscopic LC 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LC电路量子态随时间演化算符的精确解.研究了介观LC电路的零状态响应问题,求出电荷与电流对输入电压信号的零状态响应的完全解,结果表明介观LC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LC电路的结果相同.

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