介观电容耦合LC电路在有限温度下的能量及热效应  

The energy and thermal effects of mesoscopic capacitance coupling LC circuit at finite temperature

作　　者：苏杰[1] 王继锁[1] 梁宝龙[1] 张晓燕[1] 

机构地区：[1]聊城大学物理科学与信息工程学院,聊城252059

出　　处：《物理学报》2008年第11期7216-7220,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10574060);山东省自然科学基金(批准号:Q2007A01);聊城大学科研基金(批准号:X071045)资助的课题~~

摘　　要：由正则量子化方法导出了介观电容耦合LC电路体系的哈密顿算符,利用幺正变换使哈密顿算符对角化.用系综理论给出了体系的平均能量及其涨落,在此基础上,借助于广义Hellmann-Feynman定理,讨论了有限温度下电路体系中电荷与自感磁通的量子涨落.结果表明,体系中电荷与自感磁通的量子涨落不仅与电路元件参数有关,而且还与温度有关.For the mesoscopic capacitance coupling LC circuit,the Hamiltonian is given by the canonical quantization.The Hamiltonian operator is diagonalized by a unitary transformation.The ensemble average energy and its fluctuations are derived by ensemble theory.In virtue of the generalized Hellmann-Feynman theorem,the quantum fluctuations of charge and self-conductance magnetic flux for the system at finite temperature are investigated.It is found that,the quantum fluctuations of charge and self-conductance magnetic flux depend on the temperature as well as the parameters of the circuit components.

关 键 词：介观电路 量子涨落 广义Hellmann-Feynman定理 有限温度 

分 类 号：O414.2[理学—理论物理]