Graduate student understanding of quantum mechanical spin
Graduate student understanding of quantum mechanical spin
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DOI：
10.1119/perc.2022.pr.heckler
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发表时间：
2022-09
期刊：
影响因子：
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通讯作者：
A. Heckler;C. Porter
中科院分区：
文献类型：
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作者：
A. Heckler;C. Porter
在4年的时间内应用了一个循环观察和三角剖分的框架，以与量子旋转有关的研究生困难，其中使用了许多课堂观察和访谈来确定常见的，持续的困难。书面项目在两年内迭代开发，以添加定量组件。在三年的时间里，向两个合作机构的研究生管理项目。我们发现，学生通常获得的分数或正确的比例在书面物品上的30％-70％不等，并且在所有机构中的回答模式相似。课程讲师将所有项目都确定为与课程的教学目标相关。我们报告了许多旋转的研究生困难，包括自旋1/2状态的正交性，自旋状态的投影，旋转添加和交换对称性。我们简要地讨论了可以解释这些结果的理论框架。
A framework of cyclic observation and triangulation was applied over a period of 4 years to graduate student difficulties related to quantum spin, in which numerous in-class observations and interviews were used to identify common, persistent difficulties. Written items were iteratively developed over two years to add a quantitative component. Items were administered to graduate students at two collaborating institutions, over three years. We find that students generally obtained scores or correct proportions ranging from 30%-70% on the written items, and answering patterns were similar across all institutions. All items were identified by the course instructors as being relevant to instructional goals of the course. We report on a number of graduate student difficulties with spin, including orthogonality of spin-1/2 states, projections of spin states, spin addition, and exchange symmetry. We briefly discuss possible theoretical frameworks through which to interpret these results.