论文标题
学生的困难，校正对中间场的氢原子能量光谱的校正
Student difficulties with the corrections to the energy spectrum of the hydrogen atom for the intermediate field Zeeman effect
论文作者
论文摘要
我们使用退化的扰动理论讨论了对学生难度的研究，以校正氢原子的能量光谱。调查是在高级量子力学课程中进行的，通过管理自由响应和多项选择问题并与学生进行个人访谈。我们发现学生有许多与相关物理概念相关的常见困难。特别是，在这种量子力学的背景下，学生经常在数学意义上苦苦挣扎，这需要解释不受干扰的能量谱系中退化的含义以及Zeeman扰动将如何影响能量水平的分裂。我们讨论了一个事实，通常是如何在能源范围中正确应用线性代数概念的事实，这对学生来说是挑战。
We discuss an investigation of student difficulties with the corrections to the energy spectrum of the hydrogen atom for the intermediate field Zeeman effect using the degenerate perturbation theory. The investigation was carried out in advanced quantum mechanics courses by administering free-response and multiple-choice questions and conducting individual interviews with students. We find that students share many common difficulties related to relevant physics concepts. In particular, students often struggled with mathematical sense-making in this context of quantum mechanics which requires interpretation of the implications of degeneracy in the unperturbed energy spectrum and how the Zeeman perturbation will impact the splitting of the energy levels. We discuss how the common difficulties often arise from the fact that applying linear algebra concepts correctly in this context with degeneracy in the energy spectrum is challenging for students.
