有限温度下介观互感电容耦合双谐振电路的量子涨落  

The Quantum Fluctuations of Mesoscopic Double Consonance Mutual Inductance and Capacitance Coupling Circuit at Finite Temperature

作　　者：徐兴磊[1] 徐世民[1] 

机构地区：[1]菏泽学院物理系

出　　处：《四川师范大学学报（自然科学版）》2008年第4期422-427,共6页Journal of Sichuan Normal University（Natural Science）

基　　金：山东省高等学校实验技术基金(SO4W138);山东省自然科学基金(Y2002A05)资助项目

摘　　要：从满足的微分方程入手,对介观互感电容耦合电路作双模耦合谐振子处理,利用谐振子量子化的方法将其量子化.通过线性变换,将体系的哈密顿量对角化,给出了体系的本征能谱.在热场动力学(TFD)理论框架下,研究了热真空态、热相干态及热压缩态下回路中电荷和电流的量子涨落.结果表明:电荷电流的量子涨落不仅和电路自身的参数、彼此的耦合程度有关,而且还和压缩度、压缩角及环境温度有关,并且随温度的升高而增大.From its differential equation, mesoscopic mutual inductance and capacitance coupling double consonance circuit is quantized by means of harmonic oscillator quantization and linear transformation. The energy spectra of this circuit are given. The quantum fluctuations of the charge and current of each loop are researched by the method of thermo-field dynamics （ TFD ） in thermal vacuum state, thermal coherent state and thermal squeezed state. The results show that the quantum fluctuations of the charge and current are related to not only circuit inherent parameter and coupling magnitude, but also squeezed coefficients and environmental temperatures. The quantum fluctuations increase with the increase of temperature.

关 键 词：介观电路 互感耦合 电容耦合 有限温度 量子涨落 

分 类 号：O413.1[理学—理论物理]