| 介观RLC电路的量子效应 |
| |
| 引用本文： | 阎占元,马金英,丁振君. 介观RLC电路的量子效应[J]. 华北电力大学学报(自然科学版), 2005, 32(6): 101-103 |
| |
| 作者姓名： | 阎占元 马金英 丁振君 |
| |
| 作者单位： | 华北电力大学,数理学院,河北,保定,071003;河北大学,质量与技术监督学院,河北,保定,071002 |
| |
| 基金项目： | 国家自然基金资助项目（10405009）;河北省自然基金资助项目（103143）. |
| |
| 摘 要： | 在电荷不连续的前提下,利用介观电路的量子化方法,得到了介观RLC电路的有限差分薛定谔方程。在广义动量表象中,通过幺正变换,系统的薛定谔方程转化为标准的马丢(Mathieu)方程的形式,在WKM近似下,计算了系统的能谱和电流的量子涨落。本文的结果将对高度集成电路设计中量子噪声的控制提供理论依据。
|
| 关 键 词： | 介观电路 量子化 量子效应 马丢函数 |
| 文章编号： | 1007-2691(2005)06-0101-03 |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-05-10 |
Quantum effects of mesoscopic RLC circuit |
| |
| YAN Zhan-yuan,MA Jin-ying,DING Zhen-jun. Quantum effects of mesoscopic RLC circuit[J]. Journal of North China Electric Power University, 2005, 32(6): 101-103 |
| |
| Authors: | YAN Zhan-yuan MA Jin-ying DING Zhen-jun |
| |
| Affiliation: | 1. School of Mathematics and Physics, North China Electric Power University, Baoding 071003, China; 2 School of Quality and Technical Supervision, Hebei University, Baoding 071002, China |
| |
| Abstract: | On the condition that the electric charge takes discrete value, the finite differenc Schrodinger equation ofthemesoscopicRLCcircuitisachieved. With a unitary transformation, the Schrodinger equation is transformed into the standard Mathieu equation in the generalized momentum presentation. The energy spectrum and the wave functions of the system are obtained. The average of currents and square of the current are calculated by using the WKM method. The results show the existence of the current. |
| |
| Keywords: | mesoscopic circuit quantization quantum effect Mathied function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
