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Acta Sinica Quantum Optica

Quantum Fluctuation of Mesoscopic RLC Circuit with Power Source

Yan Liu

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

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.

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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.