有限温度下介观电感耦合电路的能量与量子涨落  

Energy and quantum fluctuations of inductance coupling mesoscopic circuit at finite temperature

作　　者：苏杰[1] 王继锁[1] 张晓燕[1] 梁宝龙[1] 

机构地区：[1]聊城大学物理科学与信息工程学院,山东聊城252059

出　　处：《量子电子学报》2009年第2期231-236,共6页Chinese Journal of Quantum Electronics

基　　金：国家自然科学基金(10574060);聊城大学科研基金(X071045)资助项目

摘　　要：利用拉格朗日函数给出介观电感耦合电路体系的哈密顿量,通过引入一幺正算符使体系哈密顿算符对角化。借助于广义Hellmann-Feynman定理,讨论了有限温度下电路体系中电荷及其共轭量的量子涨落。结果表明,体系中电荷及其共轭量的量子涨落不仅与电路元件参数有关,而且还与温度有关。Using the Lagrangian function, the Hamiltonian of the inductance coupling mesoscopic circuits is given. The Hamiltonian operator is diagonalized by introducing a unitary operator. By virtue of the generalized Hellmann-Feynman theorem, the quantum fluctuations of charge and its conjugate quantity for the system at finite temperature are investigated. It is found that, the quantum fluctuations of charge and its conjugate quantity have something to do with not only the parameters of the circuit cells, but also the temperature.

关 键 词：量子光学 介观电路 广义Hellmann—Feynman定理 系综平均 量子涨落 

分 类 号：O431.2[机械工程—光学工程]