大学物理 ›› 2025, Vol. 44 ›› Issue (7): 5-.doi: 10.16854/j.cnki.1000-0712.240458

• 教学研究 • 上一篇    下一篇

基于一维δ势垒散射的惠勒延迟选择思想实验

金家森, 李伟佳, 于长水   

  1. 大连理工大学物理学院,辽宁 大连116024
  • 收稿日期:2024-10-12 修回日期:2025-02-14 出版日期:2025-09-01 发布日期:2025-09-16
  • 作者简介:金家森(1985—),男,辽宁沈阳人,大连理工大学物理学院副教授,博士,主要从事量子力学教学和开放量子系统研究工作.
  • 基金资助:
    国家自然科学基金(11975064)资助

Wheeler’s delayed-choice gedanken experiment basing on the δ potential barrier scattering in one dimension

JIN Jiasen, LI Weijia, YU Changshui   

  1. School of Physics,Dalian University of Technology, Dalian, Liaoning 116024, China
  • Received:2024-10-12 Revised:2025-02-14 Online:2025-09-01 Published:2025-09-16

摘要: 本文介绍了惠勒延迟选择思想实验,并阐述其在量子力学教学中引入的必要性与挑战性.为便于本科生接受和理解,本文通过求解定态薛定谔方程给出了一维单δ势垒和双δ势垒对自由粒子散射过程的透射系数和反射系数,并进一步分析了该散射过程与马赫-曾德尔干涉的对应关系.最后本文以一维δ势垒散射为例,设计了一种延迟选择实验在量子力学课堂教学的引入方式,以期为波粒二象性教学提供新素材,为学生理解提供新思路.

关键词: 波粒二象性, 势垒散射, 延迟选择实验, 定态薛定谔方程, 量子力学

Abstract: The Wheeler's delayed-choice gedanken experiment is introduced, the necessity and challenge in the quantum mechanics teaching are discussed. In order to faciliate the acceptance and understanding for undergraduate students, by solving the time-independent Schrodinger equation, the reflectivity and transmissivity of the single and double δ potential scattering for free particles are obtained, the correspondence between the scattering and Mach-Zender interferometer is further discussed. Finally a way to introduce the delayed-choice experiment into the quantum mechanics class teaching is designed via the one-dimensional δ potential barrier scattering, in expectation to provide new materials and shed new light on the teaching and understanding of wave-particle duality. 

Key words: wave-particle duality, potential barrier scattering, delayed-choice experiment, time-independent Schrdinger equation, quantum mechanics