阶梯算符本征态下介观电子谐振腔的量子效应

Quantum effect of mesoscopic electron resonator under the eigenstate of ladder operator

基于电荷取分立值的事实,运用阶梯算符的性质,计算电荷、电流以及能量的量子涨落,研究介观电子谐振腔的量子效应.结果表明,计及电荷量子化的事实,在阶梯算符本征态下介观电子谐振腔中电流的量子涨落为零,而电荷与能量的量子涨落不为零,分别与电荷的量子化性质有关,大小决定于系统自感、电容、栅压和形状因子以及状态参量等因素.

On the basis of the fact that electric charge takes discrete value,the fluctuations of the charge,current and energy are calculated by the character of ladder operator,the quantum effects of mesoscopic electron resonator are investigated.The results show that,taking account of the charge quantization,the quantum fluctuation of the current is zero under the eigenstate of ladder operator,but fluctuations of the charge and the energy aren＇t zero,related with the quantum character of charge respectively,and the quantities are determined by the self-inductance,capacities,gate voltage,geometry factor of the system and the state parameters.