Time dependence of the average charge and current in a dissipative mesoscopic circuit

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: dissipative mesoscopic RLC circuit interaction between electrons and phonons
• 年，卷（期）: 2002,（2）
• 页码范围: 163-166
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

Taking into consideration the interactions between electrons and phonons, we have studied the temporal evolutionof the average charge and current in a dissipative mesoscopic RLC circuit. Our results show that a mesoscopic RLCcircuit can be treated as an interactive system between an electromagnetic harmonic oscillator and many lattice harmonicoscillators; this is called the bathing of the harmonic oscillators. The results also show that the quantum equation ofmotion of the linear mesoscopic RLC circuit is identical in form to its classical equation of motion, the only differencebetween them being their respective meanings.In order to thoroughly study the quantum properties of a dissipativemesoscopic circuit, we have to consider not only; the electromagnetic energy of the circuit, but also the crystal latticevibration energy and the interactive energy between electrons and phonons.