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Journal of Qingdao Technological University

Quantum fluctuations of charge and current in RLC circuit

Wang Zhong-chen, Guo Zheng-ping

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

Starting from equation of motion of the active RLC circuit,we adopt the technique of the unitary transformation,transform the charge and current into the unitary variable and then have the quantization.By making use of standard transformation,we try to solve the time equation.For the application,quantum fluctuations of charge and the current in the mesoscopic circuit in the harmonic oscillator state are studied,result is analyzed and discussed.

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Modern Physics Letters B•May 25, 2015•0 citations
Starting from equation of motion of the active RLC circuit,we adopt the technique of the unitary transformation,transform the charge and current into the unitary variable and then have the quantization.By making use of standard transformation,we try to solve the time equation.For the application,quantum fluctuations of charge and the current in the mesoscopic circuit in the harmonic oscillator state are studied,result is analyzed and discussed.
Starting from equation of motion of the active RLC circuit, we adopt the technique of the unitary transformation,transform the charge and current into the unitary variable and then have them quantization. By making use of standard transformation, we try to solve the having time Schrdinger equation. As the application, quantum fluctuations and antibunching effect of the charge and the current in the mesoscopic circuit in the harmonic oscillator state is studied, the result is analysed and discussed.
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.