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大学化学中“海森堡不确定性原理”的5种理解角度

Five Different Perspectives on Understanding Heisenberg’s Uncertainty Principle in University Chemistry Courses

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【作者】 武文娜冯凯韩艳阳刘珊珊何涛杨昕刘杰李庆忠柳华杰张涛

【Author】 WU Wen-Na;FENG Kai;HAN Yan-Yang;LIU Shan-Shan;HE Tao;YANG Xin;LIU Jie;LI Qing-Zhong;LIU Hua-Jie;ZHANG Tao;School of Chemistry and Chemical Engineering,Yantai University;School of Chemical Science and Engineering,Tongji University;

【通讯作者】 张涛;

【机构】 烟台大学化学化工学院同济大学化学科学与工程学院

【摘要】 量子科学革命以来,人们发现微观粒子的运动无法通过经典物理学确定性的公式来预测,而只能通过概率分布来描述。沃尔纳·海森堡(Werner Heisenberg)于1927年提出的“海森堡不确定性原理”对这方面内容进行了总结,即一个运动粒子的位置和它的动量不可同时被准确测量,数学上表达为Δx·Δp≥h/4π。在现代化学知识学习过程中,海森堡不确定性原理是相关课程的知识点之一,深入理解“不确定性原理”的科学内涵,不仅有助于提高现代化学学习水平,也有益于前沿科学研究。本文从化学史的角度介绍物理学家海森堡的科学历程和“不确定性原理”的提出背景,列举顾名思义、举例说明、物理直观、数学推导、哲学理解等5个角度来理解该知识点。

【Abstract】 Quantum mechanics has revealed that the motion of microscopic particles cannot be predicted using the deterministic formulas of classical physics, rather it can only be described through probability distributions.Werner Heisenberg proposed the Uncertainty Principle in 1927,which states that the position of a moving particle and its momentum cannot be precisely measured simultaneously, mathematically expressed as Δx·Δp≥h/4π.Heisenberg’s Uncertainty Principle is a crucial topic across several chemistry courses.A deep understanding of the principle is not only beneficial for enhancing one’s knowledge of modern chemistry but also supportive of advancing scientific researches.Herein, we recapitulate the historical background of the Uncertainty Principle, and present five different perspectives to understand the Principle, such as meaning of the name, real-life examples, physical examples, mathematical derivation, and philosophical understanding, so to help teachers and students grasp the concepts more thoroughly.This year marks the 100th anniversary of Heisenberg’s formulation of quantum mechanics, and we commemorate this milestone through our discussion.

【基金】 山东省本科教学改革研究面上项目(M2024254);泰山学者工程专项经费资助(tsqn202306160);同济大学2025年研究生教育研究与改革项目,研究生知识微单元建设(0703化学)(2025ZSWDY26)
  • 【文献出处】 化学教育(中英文) ,Chinese Journal of Chemical Education , 编辑部邮箱 ,2026年02期
  • 【分类号】O6-4;G642
  • 【下载频次】50
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