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Zhongguo Shiyou Daxue xuebao. Ziran kexue ban

QUANTUM FLUCTUATION OF ELECTRICAL CHARGE AND CURRENT IN MESOSCOPIC MUTUAL-INDUCTANCE COUPLED CIRCUITS

Zhong Wang

Published Jan 1, 2002• 0 citations
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Abstract

A diagonalizing classical Hamiltonian for a nondissipative mesoscopic mutual inductance coupled circuit with sources in every closed circuit was diagonalized. The eigenstate of the Hamiltonian is solved when the source is an in adiabatic approximation. The quantum fluctuations of the charge and current in the eigenstate of the coupled circuit were discussed. The result shows that the quantum fluctuations in the two closed circuits are correlated with each other.

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Starting from Kirchhoff's equation for each mesoscopic coupled circuit, we investigated the quantum fluctuations of a dissipative mesoscopic capacitance–resistance–inductance coupled circuit using canonical transformation and unitary transformation. It is shown that the quantum fluctuations of charges and currents are not only related to the parameters of components in the self-circuit and coupled part, but also influenced by the parameters of other circuit. The uncertainty relations of the charges and currents are analyzed briefly.
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