有源LC介观电路的量子效应  

Quantum Effect in the Mesoscopic LC Circuits with a Source

作　　者：丁振君[1] 邹国平[2] 尚洪武[2] 阎占元[2] 

机构地区：[1]河北大学质量技术监督学院,河北保定071002 [2]华北电力大学应用物理系,河北保定071003

出　　处：《河北大学学报（自然科学版）》2007年第1期32-34,92,共4页Journal of Hebei University(Natural Science Edition)

摘　　要：在电荷不连续的前提下,利用介观电路的量子化方法,得到了有源介观LC电路的有限差分薛定谔方程.通过么正变换,系统的薛定谔方程转化为标准的马丢(Mathieu)方程的形式,在WKBJ近似下,计算了系统的能谱和电流的量子涨落.Based on the fundamental fact that the electric charge takes discrete value, the finite-differenced Schroedinger equation of the mesoscopic LC circuit with a source is achieved. With a unitary transformation, the Schroedinger equation becomes the standard Mathieu equation. Using the WKBJ method, the energy spectrum and the wave functions of the system are obtained, the average of currents and square of the current are calculated, the results show the existence of the current fluctuation, which cause the noise in the circuits.

关 键 词：介观电路 马丢方程 量子涨落 

分 类 号：O413[理学—理论物理]