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Acta Physica Sinica

The complete solution of zero-state response in mesoscopic LC circuit

Zhou Xiao-fang, 漳州师范学院物理与电子信息工程系，漳州 363000

Published Jan 1, 2007• 1 citation
Publisher

Abstract

The exact solution of time evolution operator was obtained by applying the gauge transform of algebra dynamic. Such an operator describes the quantum state of time dependence of mesoscopic LC circuit containing voltage source. The zero-state response in mesoscopic LC circuit was researched, and the charge and current zero-state response of the import signal were also acquired. The result showed that the system of mesoscopic LC circuit has linear time invariant feature, and the response in mesoscopic LC circuit is the same as in the macroscopic LC circuit.

DOI
10.7498/aps.56.6019

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The exact solution of time evolution operator was obtained by applying the gauge transform of algebra dynamic. Such an operator describes the quantum state of time dependence of mesoscopic LC circuit containing voltage source. The zero-state response in mesoscopic LC circuit was researched, and the charge and current zero-state response of the import signal were also acquired. The result showed that the system of mesoscopic LC circuit has linear time invariant feature, and the response in mesoscopic LC circuit is the same as in the macroscopic LC circuit.
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The exact solution of time-evolution operator was obtained by applying the gauge transform of algebra dynamic.Such an operator describes the quantum state of time dependence of capacitance coupled mesoscopic circuit containing voltage source.The charge and current zero-state response of the import voltage signal in capacitance coupled mesoscopic circuit were introduced.The result shows that the system of capacitance coupled mesoscopic circuit has linear time invariant feature,and the response in mesoscopic circuit is the same as in the macroscopic circuit.
The exact solution of time evolution operator is obtained by applying the gauge transform of algebra dynamic.Such an operator describes the quantum state of time depen- dence of mesoscopic LC circuit containing voltage source.The coherence of quantum state of mesoscopic LC circuit is taken into account.The result showed that the probability of charge stored in capacitor is a motional Gauss wave-packet.The relation between centre charge of wave-packet and voltage source is given.The special example in which the circuit is driven by single rectangle pulse is investigated.