一维无限深方势阱能量本征态的分立动量分布和连续动量分布之辨析  

A Discussion of the Discrete and Continuous Momentum Distribution of Energy Eigenstates in the One-Dimensional Infinite Square Well

作　　者：李云 LI Yun(College of Physics and Electronic Engineering,Hanshan Normal University,Chaozhou,Guangdong,521041)

机构地区：[1]韩山师范学院物理与电子工程学院,广东潮州521041

出　　处：《韩山师范学院学报》2024年第6期25-27,59,共4页Journal of Hanshan Normal University

基　　金：广东省基础与应用基础研究基金项目(项目编号:2021A1515010055);广东省重点建设学科科研能力提升项目(项目编号:2021ZDJS055);广东省普通高校科研重点平台和项目—重点领域专项(项目编号:2023ZDZX4042).

摘　　要：探讨了量子力学中一维无限深方势阱能量本征态下粒子的动量分布问题,指出分立的动量分布符合不确定原理,通过分析函数在势阱边界点处的光滑性,指出分立的动量分布是精确解而连续的动量分布仅是近似解.This paper discusses the momentum distribution of a particle in energy eigenstates of the one-dimensional infinite square well.It demonstrates that the discrete momentum distribution is consistent with the uncertainty principle.By analyzing the smoothness of the functions at the bound⁃ary points of the well,this study points out that the discrete momentum distribution is an exact solu⁃tion while the continuous momentum distribution is only an approximation.

关 键 词：一维无限深方势阱 动量分布 不确定原理 傅里叶级数 

分 类 号：O413.1[理学—理论物理]