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

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.