| 介观电子谐振腔的量子效应 |
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| 引用本文： | 阎占元,张晓宏,刘建新. 介观电子谐振腔的量子效应[J]. 河北师范大学学报(自然科学版), 2006, 30(3): 284-287 |
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| 作者姓名： | 阎占元 张晓宏 刘建新 |
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| 作者单位： | 1. 华北电力大学,应用物理系,河北,保定,071003
2. 华北电力大学,电力工程系,河北,保定,071003 |
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| 基金项目： | 河北省自然科学基金 , 华北电力大学校科研和校改项目 |
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| 摘 要： | 基于电荷是量子化的这一基本事实,在介观电路的全量于理论框架中,实现了介观电子谐振腔的量子化,获得了该器件的差分薛定谔方程.用幺正变换将薛定谔方程变换为标准的马丢方程,通过对薛定谔方程的求解,得到了系统的能级和波函数.运用WKBJ方法计算了电流平均值和电流平方的平均值,计算结果表明电流涨落是存在的,它是介观电路中主要的量子噪声.
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| 关 键 词： | 介观电路 马丢方程 量子涨落 |
| 文章编号： | 1000-5854(2006)03-0284-04 |
| 收稿时间： | 2005-12-22 |
| 修稿时间： | 2005-12-22 |
Quantum Effect in the Mesoscopic Open Electron Resonator |
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| YAN Zhan-yuan,ZHANG Xiao-hong,LIU Jian-xin. Quantum Effect in the Mesoscopic Open Electron Resonator[J]. Journal of Hebei Normal University, 2006, 30(3): 284-287 |
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| Authors: | YAN Zhan-yuan ZHANG Xiao-hong LIU Jian-xin |
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| Affiliation: | 1. Department of Applied Physics, North China Electric Power University, Hebei Baoding 071003. China; 2. Department of Electrical Engineering, North China Electric Power University, Hebei Baoding 071003, China |
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| Abstract: | Basing on the fundamental fact that the electric charge takes discrete value, and in the framework of the whole quantum theory to mesoscopic circuits, the circuit of mesoscopic electron resonator is quantilazed, and the finite-differenced Schrodinger equation of this device is achieved. With a unitary transformation, the Schrodinger equation becomes the standard mathieu equation, then the energy spectrum and the wave functions of the system are obtained. By using the WKBJ method, the average of currents and square of the current are calculated, the results show the existence of the current fluctuation, which causes the noise in the circuits. |
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| Keywords: | mesoscopic circuit Mathieu equation quantum effect |
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