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Applied Mechanics and Materials

Quantum Effect in the Mesoscopic Open Electron Resonator

Zhan Yuan Yan, Zhi Cheng Liu, Pan Zhao

Published Oct 1, 2011• 0 citations
Publisher

Abstract

In the framework of regularization process for quantization, the mesoscopic openelectronresonator is quantized using Feynman’s path integral method. With a Gaussian type propagator, the energy spectrum and wave functions are calculated. As an application of the results, the quantum fluctuations and uncertainty relation are discussed. The detailed formulation of energy spectrum and wave functions would be benefit to the further research work of the system.

DOI
10.4028/www.scientific.net/amm.130-134.3259

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In the framework of an advanced quantum theory for mesoscopic electric circuits in accord with the discreteness of electric charges, a mesoscopic quartz piezoelectric crystal equivalent circuit is quantized. To resolve the finite difference Schrödinger equation, an improved parameter perturbative method is proposed when WKB and perturbative method are inapplicable. With this method, the energy spectrum and wavefunctions of the system are obtained and used to calculate current quantum fluctuation as an application. The new method would be helpful to the application of the mesoscopic circuits quantum theory. Besides, the detail characters of energy spectrum and wavefunctions in the system would be helpful to the design of integrate circuit.