理工科类大学物理课程中的量子力学教学设计——“一维谐振子”教学案例TEACHING DESIGN OF QUANTUM MECHANICS IN PHYSICS COURSES IN SCIENCE AND ENGINEERING UNIVERSITIES——TAKE ONE-DIMENSIONAL HARMONIC OSCILLATOR AS AN EXAMPLE
周可雅,刘哲,曹永印,张宇
摘要(Abstract):
一维谐振子的量子力学处理是一个具有基本重要性的问题,与一维无限深势阱的能量本征值分布不同,它的本征值是等间距分布的,这个处理可追溯到量子诞生之初的科学猜想,又在解释场与物质相互作用中起着基本作用。本文以“一维谐振子”为例,介绍了哈尔滨工业大学工科物理教学团队在量子力学部分的教学设计和实施策略。论文从科学思想、前沿理论、科技应用和中国元素等四个方面充分挖掘了课程思政育人素材,着眼于对学生科学思想的启迪和前沿科技的牵引,通过对“一维谐振子”的量子力学处理,让学生能够感受量子力学的科学价值和独特魅力。
关键词(KeyWords): 大学物理;量子力学;一维谐振子;教学案例
基金项目(Foundation): 黑龙江省高等教育学会“2023年高等教育研究课题”(23GJYBB055);; 2024年度黑龙江省高等教育教学改革研究重点项目(SJGZB2024021)
作者(Author): 周可雅,刘哲,曹永印,张宇
参考文献(References):
- [1] 李嘉慧.大学物理中的量子力学教学研究[D].大连理工大学,2012.LI J H.The study of quantum mechanics teaching in College Physics[D].Dalian University of Technology,2012.
- [2] 教育部高等学校大学物理课程教学指导委员会.理工科类大学物理课程教学基本要求[M].2023年版.北京:高等教育出版社,2023.Teaching Guidance Committee for College Physics Courses in Higher Education Institutions of the Ministry of Education.The basic requirements for teaching of physics courses in science and engineering universities[M].2023 edition.Beijing:Higher Education Press,2023.
- [3] 张勇,张乃波,吴培文.2023版与2010版《理工类大学物理课程教学基本要求》的比较与启示[J].物理与工程,2024,34(1):73-79.ZHANG Y,ZHANG N B,WU P W.Enlightenment from the comparison analysis of the 2023 edition to the 2010 edition of the basic requirements for teaching of physics courses in science and engineering universities[J].Physics and Engineering,2024,34(1):73-79.(in Chinese)
- [4] 贾瑜,王炜.2023年版《理工科类大学物理课程教学基本要求》内容细化修订解读[J].物理与工程,2024,34(1):3-10.JIA Y,WANG W.The interpretation of the 2023 edition of the basic requirements for teaching of physics courses in science and engineering universities[J].Physics and Engineering,2024,34(1):3-10.(in Chinese)
- [5] 张子静,王晓鸥,霍雷,等.大学物理教学改革——量子探测教学浅谈[J].物理与工程,2020,30(2):65-68.ZHANG Z J,WANG X O,HUO L,et al.The teaching reform of College Physics—A brief talk on quantum detection teaching[J].Physics and Engineering,2020,30(2):65-68.(in Chinese)
- [6] 王雯宇,程茜,梁淇玮,等.一维谐振子薛定谔方程含时演化非级数解析解[J].物理与工程,2024,34(4):98-109.WANG W Y,CHENG X,LIANG Q W,et al.The analytical non-series time evolution solution of one-dimensional oscillator Schr?dinger equation[J].Physics and Engineering,2024,34(4):98-109.(in Chinese)
- [7] 盛嘉茂.关于工科量子物理教学内容的讨论[J].大学物理,2013,32(10):27-29.SHENG J M.Discussion on contents of quantum physics of engineering course[J].College Physics,2013,32(10):27-29.(in Chinese)
- [8] 非物理类理工学科大学物理课程教学基本要求[J].物理与工程,2006,(5):1-8.Basic Teaching Requirements for College Physics Courses in Non-Physics Engineering and Science Disciplines[J].Physics and Engineering,2006,(5):1-8.(in Chinese)
- [9] 周可雅,孟庆鑫,曹永印,等.问题牵引式大学物理课程知识图谱探索与实践[J].大学物理,2025,44(1):66-69,75.ZHOU K Y,MENG Q X,CAO Y Y,et al.Exploration and practice based on a problem driven knowledge graph of college physics[J].College Physics,2025,44(1):66-69,75.(in Chinese)
- [10] 冯飞,周可雅,孙琼阁,等,译.纳米量子光学[M].北京:国防工业出版社,2025.FENG F,ZHOU K Y,SUN Q G,et al.trans.Nano and quantum Optics[M].Beijing:National Defense Industry Press,2025.(in Chinese)