用表象变换的方法求得了介观RLC电路的量子波函数,并由此求得了电荷和电流的量子涨落,同时又用双波函数方法研究了有源介观电路的量子效应.通过两种方法的比较可知,电路的量子涨落与所处的状态密切相关,这一点由双波函数方法清楚可见.用双波函数求得的电荷和电流的系综平均值正是用波函数求得的电荷和电流的期望值.
The quantum wave function of mesoscopic RLC circuit with power source is obtained by the method of representational transformation, and with the wave function, the quantum fluctuation of the mesoscopic circuit was obtained. Meanwhile, the quantum effect of mesoscopic circuit with power source is investigated using the double wave function. By comparing between two kinds of methods, we confirm that the fluctuation is connected with the state of a circuit. This can be seen from the method of double wave function. The average values of ensemble solved by double wave function are just the expected values solved by the method of representational transformation.
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