有源介观二阶RLC串并联电路的量子效应  

Quantum Effects of Active Mesoscopic Second Order RLC Series and Parallel Circuit

作　　者：孔令杰[1] 

机构地区：[1]菏泽学院物理与电子工程系,山东菏泽274015

出　　处：《河北师范大学学报（自然科学版）》2015年第2期117-122,共6页Journal of Hebei Normal University：Natural Science

基　　金：山东省优秀中青年科学家科研奖励基金(BS2012CL001);菏泽学院博士基金(XY10BS02)

摘　　要：借鉴阻尼谐振子正则量子化方法,实现了对有源介观二阶RLC串并联电路的量子化,在此基础上研究了真空态下电路中电荷和自感磁通链、电压和电流的量子涨落.结果表明,对于有源介观二阶RLC串并联电路,其在真空态下电荷和自感磁通链、电压和电流都存在着各自的量子涨落,且量子涨落及量子涨落积的大小皆与电路中的器件参数有关,并随时间按指数规律衰减.By using canonical quantization method of damped harmonic oscillator,the quantum of active mesoscopic second order RLC series and parallel circuit was realized.And on this basis,the quantum fluctuations of charge and inductance flux linkage as the same as voltage and current in circuit under vacuum state were also studied through this research methods.For active mesoscopic second order RLC series and parallel circuit,the results show that circuit charge and inductance flux linkage as the same as voltage and current in circuit under vacuum state respectively exist quantum fluctuations.And the size of the quantum fluctuations and quantum fluctuations plot all depend on device parameters in the circuit,which decaying exponentially with time.

关 键 词：阻尼谐振子 正则量子化 有源介观二阶RLC串并联电路 量子涨落 真空态 

分 类 号：O431.2[机械工程—光学工程]