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近年来,宏观量子力学与介观物理问题的研究十分引人注目,并已取得了一系列的研究成果。随着微电子技术的发展,人们竭力提高电子器件的工作速度,因而不断降低元件的尺寸,可是这种努力终将由于集成度的提高,使单位面积功耗增加以及元件尺寸缩小,带来原理性的限制而达极限。因此,必须考虑器件以及电路的量子力学效应。早在50年代,Landau、路易塞尔等物理学家就用量子力学方法研究宏观的电路问题。最近,由于介观物理的兴起,使这一问题的研究又成为热点。本文用量子力学方法,研究了一个有源RLC电路的电荷、电流量子零点涨落,给出了绝对零度时,该电路的量子噪声的大小。 对于一个与电压电源ε(t)串联的RLC电路,它的经典运动方程为
In recent years, the research of macroscopic quantum mechanics and mesoscopic physics has drawn great attention and a series of research results have been obtained. With the development of microelectronic technology, people are trying their best to speed up the work of electronic devices, and thus continue to reduce the size of the components, but this effort will eventually bring about the principle of increased power consumption per unit area and component size reduction due to the increased integration Sex limits reach the limit. Therefore, the quantum mechanical effects of the device and the circuit must be considered. Back in the fifties, physicists such as Landau and Louisisell used quantum mechanics to study macroscopic circuit problems. Recently, due to the rise of mesoscopic physics, the research on this issue has become a hot spot again. In this paper, quantum mechanics is used to study the quantum zero point fluctuation of the charge and current of an active RLC circuit. The quantum noise of this circuit is given when absolute zero. For a RLC circuit connected in series with the voltage source ε (t), its classical equation of motion is