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Acta Sinica Quantum Optica

On Selection of Unitary Operator in Quantizing Process of Mesoscopic RLC Circuit with a Power Source

Zhu Ai-dong

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

The mesoscopic RLC circuit with a power source is quantized using the methods of canonical transformation and unitary transformation. By analyzing and comparing the calculation processes of several different unitary operators, we obtain the most appropriate scheme to build an unitary operator which enables the results of canonical transformation and unitary transformation to be same with each other.

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The mesoscopic RLC circuit with a power source is quantized using the methods of canonical transformation and unitary transformation. By analyzing and comparing the calculation processes of several different unitary operators, we obtain the most appropriate scheme to build an unitary operator which enables the results of canonical transformation and unitary transformation to be same with each other.
The mesoscopic RLC series circuit are quantized by five different ways which are the forced damp harmonic vibration,the construct the Hamiltonian and associated canonical transformation,the damped harmonic vibration canonical transformation,the construct the Hamiltonian and associated unitary transformation and the inner construction of the resistance are summarized.The quantum fluctuations of the charge,the current and their products are analyzed when the system in the vacuum state.The different results from the same circuit quantized by different methods are due to the different chice of the Hamiltonion of the system.