期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Quantum Effect in the Mesoscopic RLC Circuits with a Source
摘要/Abstract
摘要：
在电荷不连续的前提下,利用介观电路的量子化方法,得到了有源介观RLC电路的有限差分薛定谔方程.通过幺正变换,系统的薛定谔方程转化为标准的马丢(Mathieu)方程形式,在WKBJ近似下,计算了系统的能谱和电流的零点量子涨落.
Abstract：
Based on the fundamental fact that the electric charge takes discrete value, the finite-differenced Schrêdinger equation of the mesoscopic RLC circuit with a source is achieved. With a unitary transformation, the Schrêdinger equation becomes the standard Mathieu equation. Using the WKBJ method, the energy spectrum and the wave functions of the system are obtained, the average of currents and square of the current are calculated, the results show the existence of the current fluctuation, which cause the noise in the circuits.
关键词
Key words：
mesoscopic circuit
;
Mathieu equation
;
quantum effect