Student difficulties with the corrections to the energy spectrum of the hydrogen atom for the intermediate field Zeeman effect
Abstract
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 freeresponse and multiplechoice 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 sensemaking 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.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 DOI:
 10.48550/arXiv.2006.05000
 arXiv:
 arXiv:2006.05000
 Bibcode:
 2020arXiv200605000M
 Keywords:

 Physics  Physics Education
 EPrint:
 Physics Education Research Conference Proceedings