Examining Student Ideas about Energy Measurements on Quantum States across Undergraduate and Graduate Levels.
Examining Student Ideas about Energy Measurements on Quantum States across Undergraduate and Graduate Levels.
复制标题
检查本科生和研究生级别的学生关于量子态能量测量的想法。
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Peter S. Shaffer
中科院分区：
文献类型：
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作者：
G. Passante;Paul J. Emigh;Peter S. Shaffer
[This这篇论文是高年级物理课程重点收藏的一部分。能量测量在量子力学理论中起着基础性的作用，但有证据表明，即使在所有的本科教学之后，许多学生也很难理解基本概念。我们目前的结果从学生的能力，以确定可能的能量，可以测量一个给定的波函数和哈密顿量的调查，以确定每个能量测量的概率，以及它们如何依赖于时间，并认识到如何测量的能量影响的状态。通过分析学生对开放式问题的反应，我们确定了五个广泛的，相互关联的概念和推理困难与能源测量。数据来自大二，大三和研究生水平的量子力学课程。特别注意的是在各级坚持不正确的想法。
[This paper is part of the Focused Collection on Upper Division Physics Courses.] Energy measurements play a fundamental role in the theory of quantum mechanics, yet there is evidence that the underlying concepts are difficult for many students, even after all undergraduate instruction. We present results from an investigation into student ability to determine the possible energies that can be measured for a given wave function and Hamiltonian, to determine the probabilities of each energy measurement and how they depend on time, and to recognize how a measurement of energy affects the state. By analyzing student responses to open-ended questions, we identify five broad, interrelated sets of conceptual and reasoning difficulties related to energy measurements. Data are drawn from sophomore-, junior-, and graduate-level quantum mechanics courses. Particular attention is paid to incorrect ideas that persist across all levels.