用Wigner函数理论研究介观串并联RLC电路的量子涨落  

Study on Quantum Fluctuations of Mesoscopic Series-Parallel Connection RLC Circuit by Wigner Function Theory

作　　者：徐兴磊[1] 

机构地区：[1]菏泽学院物理系,菏泽274015

出　　处：《上海交通大学学报》2009年第3期508-512,共5页Journal of Shanghai Jiaotong University

基　　金：山东省高等学校实验技术资助项目(S04W138);菏泽学院自然科学基金资助项目(XY07WL01)

摘　　要：考虑阻尼和温度影响,将介观串并联RLC电路等效成量子化阻尼谐振子,利用Wigner函数和热场动力学理论研究了热真空态、真空态下电流和电压的量子涨落.结果表明,支路电流电压的量子涨落不仅与电路器件的参数有关,而且和环境温度有关.且由于电流焦耳热、环境温度和阻尼电阻的影响,涨落随环境温度升高而增大,随时间而衰减.Considering the effect of damped resistances and environmental temperature, mesoscopic seriesparallel connection RLC circuit was quantized by the method of damped harmonic oscillator quantization. The quantum fluctuations of the current and voltage of each branch were studied by Wigner function and thermo-field dynamics （TFD） theory in thermal vacuum state and vacuum state. The results show that the quantum fluctuations of the current and voltage of each branch are related to not only parameters of the circuit, but also environmental temperature. Because of current Joule heat, environmental temperature and damped resistances, the fluctuations increase with the increasing of temperature while decrease with prolonging time.

关 键 词：介观电路 阻尼谐振子 WIGNER函数 热真空态 量子涨落 

分 类 号：O413.1[理学—理论物理]