Investigating and addressing student difficulties with the corrections to the energies of the hydrogen atom for the strong and weak field Zeeman effect
Investigating and addressing student difficulties with the corrections to the energies of the hydrogen atom for the strong and weak field Zeeman effect
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研究并解决学生在校正强场和弱场塞曼效应的氢原子能量时遇到的困难
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发表时间：
2018
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通讯作者：
C. Singh
中科院分区：
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作者：
Christof Keebaugh;E. Marshman;C. Singh
了解何时以及如何进行极限情况近似以及为什么它们在特定情况下有效是物理学专业知识的标志。使用限制案例可以显着简化问题解决过程，并且通常提供一种方法来检查所获得的结果是否合理。我们讨论了一项学生困难的调查，即使用简并微扰理论对强场和弱场塞曼效应的限制情况下的氢原子能谱进行修正。这项调查是在高级量子力学课程中进行的，通过书面自由回答和多项选择题以及对学生进行单独访谈来进行。在这里，我们首先讨论与这些概念相关的常见学生困难。然后，我们描述了如何使用对学生困难的研究作为开发和评估量子交互式学习教程（QuILT）的指南，该教程致力于帮助学生对强场和弱场塞曼效应的氢原子能谱校正所需的概念进行功能性理解。介绍了 QuILT 的发展及其在本科生和博士课程中的评估。
Understanding when and how to make limiting case approximations and why they are valid in a particular situation is a hallmark of expertise in physics. Using limiting cases can simplify the problem-solving process significantly and they often provide a means to check that the results obtained are reasonable. We discuss an investigation of student difficulties with the corrections to the energy spectrum of the hydrogen atom for the limiting cases of the strong and weak field Zeeman effects using degenerate perturbation theory. This investigation was carried out in advanced quantum mechanics courses by administering written free-response and multiple-choice questions and conducting individual interviews with students. Here we first discuss the common student difficulties related to these concepts. We then describe how the research on student difficulties was used as a guide to develop and evaluate a quantum interactive learning tutorial (QuILT) which strives to help students develop a functional understanding of the concepts necessary for finding the corrections to the energy spectrum of the hydrogen atom for the strong field and weak field Zeeman effects. The development of the QuILT and its evaluation in the undergraduate and PhD level courses are presented.