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Journal of Sichuan University

The quantization of the dissipative mesoscopic capacitance-resistance-inductance coupled circuit

Yu Zhang

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Starting from the classical equation of the equations of motion for a mesoscopic coupling circuit,we investigated the quantization of the dissipative mesoscopic capacitanceresistance-inductance coupled circuit using canonical transformation.The result revealed that its Hamiltonian is unitary equivalent to that of two independent harmonic oscillators.

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Starting from the classical equation of the equations of motion for a mesoscopic coupling circuit,we investigated the quantization of the dissipative mesoscopic capacitanceresistance-inductance coupled circuit using canonical transformation.The result revealed that its Hamiltonian is unitary equivalent to that of two independent harmonic oscillators.
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.