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

Journal of Yanbian University

Quantum fluctuations and antibunching effect of charge and current in mesoscopic active RLC circuit

Shu Pan

Published Jan 1, 2001• 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 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.

Related papers

Antibunching Effect of Chargeand Current in Mesoscopic Active RLC Circuit

Shu-Mei Pan

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, the antibunching effect of the charge and the current in the mesoscopic circuit in the harmonic oscillator state are studied, the results are analysed and discussed.

Acta Sinica Quantum Optica•Jan 1, 2001•0 citations

Quantum fluctuations of charge and current in RLC circuit

Wang Zhong-chen, Guo Zheng-ping

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.

Journal of Qingdao Technological University•Jan 1, 2006•0 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

Quantum Effect in the Mesoscopic RLC Circuits with a Source

Jianxin Liu, Zhan-Yuan Yan

The research work on the quantum effects in mesoscopic circuits has undergone a rapid development recently, however the whole quantum theory of the mesoscopic circuits should consider the discreteness of the electric charge. In this paper, based on the fundamental fact that the electric charge takes discrete values, the finite-difference Schrödinger equation of the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrödinger equation becomes the standard Mathieu equation, then the energy spectrum and the wave functions of the system are obtained. Using the WKBJ method, the average of currents and square of the current are calculated. The results show the existence of the current fluctuation, which causes noise in the circuits. This paper is an application of the whole quantum mesoscopic circuits theory to the fundamental circuits, and the results will shed light on the design of the miniation circuits, especially on the purpose of reducing quantum noise coherent controlling of the mesoscopic quantum states.

Communications in Theoretical Physics•Dec 1, 2005•8 citations

Quantum Effect in the Mesoscopic RLC Circuits with a Source

Liu, Jian-Xin, Yan yan +1 more

The research work on the quantum effects in mesoscopic circuits has undergone a rapid development recently, however the whole quantum theory of the mesoscopic circuits should consider the discreteness of the electric charge. In this paper, based on the fundamental fact that the electric charge takes discrete values, the finite-difference Schrodinger equation of.the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrodinger equation becomes the standard Mathieu equation, then the energy spectrum and the wave functions of the system are obtained. Using the WKBJ method, the average of currents and square of the current are calculated. The results show the existence of the current fluctuation, which causes noise in the circuits. This paper is an application of the whole quantum mesoscopic circuits theory to the fundamental circuits, and the results will shed light on the design of the miniation circuits, especially on the purpose of reducing quantum noise coherent controlling of the mesoscopic quantum states.

理论物理通讯:英文版•Jan 1, 2005•0 citations

Quantum Statistical Mechanics and Quantum Fluctuations with a Power Source in a Mesoscopic RLC Circuit

Fang Ming

According to the charge discrete values,mesoscopic RLC circuit with a power source has been quantized based on the full quantum theory of the mesoscopic circuit.Thus,a systemetic finite-difference Schrdinger equation has been obtained.In representation,the form of Schrodinger equation has been transformed into the standard Mathieu equation.In the WKBJ approximation,the energy level distribution of Mesoscopic RLC Circuit with a Power Source has been obtained,and then the average of and 2 in the ground state has been calculated.The problem of quantum fluctuations in Mesoscopic RLC circuit with a power source has been solved by quantum statistical mechanics.

Journal of Cangzhou Normal University•Jan 1, 2012•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 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 research work on the quantum effects in mesoscopic circuits has undergone a rapid development recently, however the whole quantum theory of the mesoscopic circuits should consider the discreteness of the electric charge. In this paper, based on the fundamental fact that the electric charge takes discrete values, the finite-difference Schrödinger equation of the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrödinger equation becomes the standard Mathieu equation, then the energy spectrum and the wave functions of the system are obtained. Using the WKBJ method, the average of currents and square of the current are calculated. The results show the existence of the current fluctuation, which causes noise in the circuits. This paper is an application of the whole quantum mesoscopic circuits theory to the fundamental circuits, and the results will shed light on the design of the miniation circuits, especially on the purpose of reducing quantum noise coherent controlling of the mesoscopic quantum states.
The research work on the quantum effects in mesoscopic circuits has undergone a rapid development recently, however the whole quantum theory of the mesoscopic circuits should consider the discreteness of the electric charge. In this paper, based on the fundamental fact that the electric charge takes discrete values, the finite-difference Schrodinger equation of.the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrodinger equation becomes the standard Mathieu equation, then the energy spectrum and the wave functions of the system are obtained. Using the WKBJ method, the average of currents and square of the current are calculated. The results show the existence of the current fluctuation, which causes noise in the circuits. This paper is an application of the whole quantum mesoscopic circuits theory to the fundamental circuits, and the results will shed light on the design of the miniation circuits, especially on the purpose of reducing quantum noise coherent controlling of the mesoscopic quantum states.
According to the charge discrete values,mesoscopic RLC circuit with a power source has been quantized based on the full quantum theory of the mesoscopic circuit.Thus,a systemetic finite-difference Schrdinger equation has been obtained.In representation,the form of Schrodinger equation has been transformed into the standard Mathieu equation.In the WKBJ approximation,the energy level distribution of Mesoscopic RLC Circuit with a Power Source has been obtained,and then the average of and 2 in the ground state has been calculated.The problem of quantum fluctuations in Mesoscopic RLC circuit with a power source has been solved by quantum statistical mechanics.