摘要
利用坐标空间的实稳定方法,求解了一维势场中单粒子散射态与其中共振态的本征值问题,由得到的单粒子本征波函数进一步给出相应的Wigner函数,分析了单粒子散射态与其中共振态的相空间分布特征.发现除了本征能量与本征波函数存在差异,Wigner函数在相空间的具体分布行为也可用于区分单粒子共振态与一般的散射态,在相关的量子测量实验中可能用作确定量子态的特征判据.
Using the real stabilization method in coordinate space,the eigen-function of the single particle scattering state and resonant state in a one-dimensional potential are solved.In addition,the corresponding Wigner functions are given from the single-particle eigen-wave function,and the characteristic distribution of these Wigner functions in phase space is analyzed,which is proved to be a useful tool to distinguish the single-particle resonant state from the general scattering state and thus can be used as a criterion for studying the quantum properties in the relevant quantum measurement experiments.
出处
《大学物理》
2018年第1期17-20,24,共5页
College Physics
基金
兰州大学研究生课程建设项目资助
中央高校基本科研业务费专项(lzujbky-2016-30)资助
关键词
共振态
散射态
实稳定方法
WIGNER函数
resonant states
scattering states
real stabilization method
Wigner functions
