Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

College Physics

On the quantum mechanical treatment of a RLC mesoscopic circuit

WU Juan-hua

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Starting from the canonical transformation technique and the method of the Feynman's path integral,we obtain the exact wave function of a RLC mesoscopic circuit.The quantum fluctuations of charge and generalized current are also given.

Related papers

QUANTUM MECHANICAL TREATMENT OF A R(t)LC MESOSCOPIC CIRCUIT

Ling Rui-liang, 江苏省常熟高等师范专科学校物理系，常熟 215500

A quantization scheme for a R(t)LC mesoscopic circuit has been given,in which we employ the canonical transformation and Feynman's path integral method.The charge and generalized current quantum fluctuation of the circuit are discussed,and the uncertainty relation of charge and generalized current has also been shown.

Acta Physica Sinica•Jan 1, 1999•0 citations

The Quantum Fluctuations of Mesoscopic RLC Circuit in Coherent State

QU Li-cheng

The authors quantize the mesoscopic  RLC circuit with the help of the canonical transformation, define the coherent state of the mesoscopic RLC circuit, and investigate the quantum fluctuatio ns of the charge and current of the circuit in this coherent state.Some useful r esults are obtained.

Journal of Xuzhou Institute of Architectural Technology•Jan 1, 2004•0 citations

Quantum Fluctuation of Mesoscopic RLC Circuit with Power Source

Yan Liu

Quantum fluctuations of charges and currents of mesoscopic RLC circuit with power source are invesitigated using canonical transformation and unitary transformation method. It is shown that the quantum fluctuations of charges and currents of mesoscopic RLC circuit did not depend on power source.

Acta Sinica Quantum Optica•Jan 1, 2002•0 citations

Quantum Wavefunctions and Fluctuations of Mesoscopic RLC Circuit

Ji‐Suo Wang, Tang-Kun Liu, Mingsheng Zhan

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.

Chinese Physics Letters•Jul 1, 2000•17 citations

PATH INTEGRAL SOLUTIONS OF RLC MESOSCOPIC CIRCUIT WITH SOURCE

Zhan-Yuan Yan, SHI-LIANG XU, Jinying Ma

In this paper, mesoscopic RLC circuit with source is studied with Feynman's path integral method. Resistance and source in the circuits make the quantization process rather complicated. To solve the problem, fluctuation analysis method is proposed to calculate the path integral propagator. Furthermore, the wave function and quantum fluctuation of the system are obtained, and time evolution characters of the system are discussed. The methods used in the paper would be helpful to the application of mesoscopic quantum theory.

Modern Physics Letters B•Mar 19, 2012•3 citations

Wave function and quantum fluctuation of current and charges in an active meso scopic RLC circuit

Zhang Jie-Fang

Started from the classical equation of an active RLC circuit, after t he quantization of an active RLC circuit, we calculated the quantum fluctuation of the current and the charge in the mesoscopic RLC circuit, and we also studied the influence of source on quant um fluctuation.

Chinese journal of atomic and molecular physics•Jan 1, 2005•0 citations
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.
In this paper, mesoscopic RLC circuit with source is studied with Feynman's path integral method. Resistance and source in the circuits make the quantization process rather complicated. To solve the problem, fluctuation analysis method is proposed to calculate the path integral propagator. Furthermore, the wave function and quantum fluctuation of the system are obtained, and time evolution characters of the system are discussed. The methods used in the paper would be helpful to the application of mesoscopic quantum theory.