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College Physics

Quantization in mesoscopic RLC coupled circuit of two meshes

Han Yue-Wu

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

Starting from the equation of the mesoscopic coupled circuits,we study the quantization in mesoscopic RLC coupled circuit of two meshes by using the canonical transformation.The results reveal that its Hamiltonian is unitary equivalent to that of two independent harmonic oscillators.

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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.