摘要
为了介观电路量子理论的建立,在电荷不连续的前提下,得到了含有二极管的非线性介观电路的有限差分薛定谔方程.在广义动量表象中系统的薛定谔方程转化为四阶微分方程,利用微扰法,得到了系统的能谱和波函数,并计算了电流的量子涨落.
For the improvement of quantum theory of mesoscopic circuits,the finite-difference Schrdinger equation of a diode included nonlinear mesoscopic circuit is achieved in the framework of advanced quantum theory of mesoscopic circuits,which based on the fundamental fact that the electric charge takes discrete value,it is a four-order difference equation in p^ representation.Using the perturbation method,the detail energy spectrum and wave functions are obtained,as an application of the results,the current quantum fluctuation is calculated.
出处
《河北大学学报（自然科学版）》
CAS
北大核心
2010年第3期251-254,共4页
Journal of Hebei University(Natural Science Edition)
基金
河北省教育厅科学研究计划项目(Z2009308)
华北电力大学博士基金资助
关键词
介观电路
量子涨落
薛定谔方程
mesoscopic circuit
quantum fluctuation
Schrdinger equation
