教学讨论

波包二维布拉格散射的物理图像研究

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  • 国防科技大学 理学院量子信息研究所,湖南 长沙410073
王普(2002—),男,山西沁县人,国防科技大学理学院量子信息研究所,研究生.
邓志姣,E-mail: dengzhijiao926@163.com

收稿日期: 2025-01-09

  修回日期: 2025-05-02

  网络出版日期: 2026-03-19

基金资助

湖南省普通高等学校教学改革研究项目(202401000281,202401000240)资助

Study on the two-dimensional Bragg scattering of wave packets

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Received date: 2025-01-09

  Revised date: 2025-05-02

  Online published: 2026-03-19

摘要

电子晶体衍射实验验证了德布罗意物质波假说,是量子力学建立史中的一个重要事件.本文通过数值模拟波包在二维周期排列δ势场中的散射过程并辅以解析计算,探讨了实物粒子比如电子发生布拉格散射的现象.研究展示了散射过程的演化特点,并分析了相关参数对散射的影响,为量子力学高维散射部分的教学提供了直观物理图像.


本文引用格式

王普, 邓志姣, 林惠祖, 陈平形 . 波包二维布拉格散射的物理图像研究[J]. 大学物理, 2025 , 44(12) : 20 . DOI: 10.16854/j.cnki.1000-0712.250012

Abstract

The electron crystal diffraction experiment, which validated the de Broglie hypothesis of matter waves, is a significant event in the history of the establishment of quantum mechanics. This paper explores the phenomenon of Bragg scattering of massive particles, such as electrons, by numerically simulating the scattering process of wave packets in a two-dimensional periodic arrangement of delta potentials, supplemented by analytical calculations. The study demonstrates the evolution characteristics of the scattering process and analyzes the influence of relevant parameters on the scattering pattern, providing an intuitive physical picture for the teaching of high-dimensional scattering in quantum mechanics.


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