【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.更多还原

【Abstract】 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.更多还原