波包入射对共振穿透现象的影响研究  

Study on the effect of wave packet incidence onresonance penetration phenomenon

作　　者：邓志姣 李茂源 沈咏 刘伟涛 陈平形[1] DENG Zhi-jiao;LI Mao-yuan;SHEN Yong;LIU Wei-tao;CHEN Ping-xing(Institute for Quantum Science and Technology,College of Science,National University of Defense Technology,Changsha,Hunan 410073,China)

机构地区：[1]国防科技大学理学院量子信息研究所,湖南长沙410073

出　　处：《大学物理》2024年第3期1-4,10,共5页College Physics

基　　金：国家自然科学基金(11574398)资助。

摘　　要：共振穿透是一维量子散射中的一个重要的现象.一般教材中对该现象的阐述都是假定单色平面波入射,对于更加接近于实际情况的波包入射缺乏研究.本文利用解析推导并作图的方法,详细讨论了一维方势阱中波包散射的主要特点,以及入射波包的能量均值及展宽对共振穿透现象的影响.本文的研究内容不仅能加深对共振穿透现象的理解,而且为分析任意分段常势能函数的散射问题提供了一般方法.Resonance penetration is an important phenomenon in one-dimensional quantum scattering.In general textbooks,the explanation of this phenomenon assumes monochromatic plane wave incidence,and there is a lack of research on wave packet incidence which is closer to the actual situation.In this paper,the main characteristics of wave packet scattering in one-dimensional square well and the influence of the mean and broadening of incident wave packet’s energy on resonance penetration are discussed in detail by means of analytical derivation and drawing.The research content of this paper can not only deepen the understanding of resonance penetration phenomenon,but also provides a general method for the analysis of the scattering problem of arbitrary piecewise constant potential function.

关 键 词：势能函数 量子散射 波包 散射问题 共振 一维方势阱 入射波 平面波 

分 类 号：O4-39[理学—物理]