利用正则变换和幺正变换的方法研究了有互感的介观电感电容耦合电路的量子效应,并把介观电感电容耦合电路和另外几种耦合电路进行了比较.发现在耦合电容存在的有互感的电路中,通过调节互感耦合系数来控制电路的量子涨落和压缩效应是很方便的.电路中电荷和电流的不确定关系与正则变换参数ψ和不确定关系参数ξ有关.当ξ→1或ψ→nπ/2(n=0,1,2,…)时,电荷和电流的不确定关系接近最小值(h)/2.
The quantum effect of mesoscopic inductance-capacitance coupled circuit with mutual inductance was investigated by canonical transformation and unitary transformation. The mesoscopic inductance-capacitance coupled circuit was compared with several coupling circuits. It is found that it is convenient to control the quantum fluctuations and squeezed effect by adjusting mutual inductance coupling coefficient in mutual inductance circuit with coupling capacitance.Uncertainty relations of charges and conjugate currents are related to canonical transformation parameter ψ and uncertainty relations parameter ξ. When ξ→ 1 or ψ→ nπ/2, (n = 0, 1, 2,...), the uncertainty relations approach minimum value (h)/2.
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