Quantum Wavefunctions and Fluctuations of Mesoscopic RLC Circuit
WANG Ji-Suo1,2,3 LIU Tang-Kun1,2,4, ZHAN Ming-Sheng1
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
2Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031
3Department of Physics, Liaocheng Teachers University, Liaocheng 252059
4Department of Physics, Hubei Normal University, Huangshi 435002
Quantum Wavefunctions and Fluctuations of Mesoscopic RLC Circuit
WANG Ji-Suo1,2,3 LIU Tang-Kun1,2,4;ZHAN Ming-Sheng1
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
2Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Hefei 230031
3Department of Physics, Liaocheng Teachers University, Liaocheng 252059
4Department of Physics, Hubei Normal University, Huangshi 435002
Abstract： 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 well as 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.
2000, Vol. 17 
