Quantum Wavefunctions and Fluctuations of Mesoscopic RLC Circuit

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2000,（7）
• 页码范围: 528-529
• 页数: 2页
• 语种: 英文

摘要

The quantum wavefunctions and the corresponding energy levels of a RLC (Resistance-Inductance-Capacity) electric circuit are obtained by using canonical quantization method and unitary transformation from the classical equation of motion. The quantum fluctuations of charge and current in an arbitrary eigenstate of the system have also been given as wellas the uncertainty relation. It is showed that even if at 0 K charge and current in the circuit exhibit quantum fluctuations, which originates from fluctuations of zero point vibrations of the system.