Investigating and improving student understanding of quantum mechanical observables and their corresponding operators in Dirac notation

@article{Marshman2017InvestigatingAI,
  title={Investigating and improving student understanding of quantum mechanical observables and their corresponding operators in Dirac notation},
  author={Emily Megan Marshman and Chandralekha Singh},
  journal={European Journal of Physics},
  year={2017},
  volume={39}
}
In quantum mechanics, for every physical observable, there is a corresponding Hermitian operator. According to the most common interpretation of quantum mechanics, measurement of an observable collapses the quantum state into one of the possible eigenstates of the operator and the corresponding eigenvalue is measured. Since Dirac notation is an elegant notation that is commonly used in upper-level quantum mechanics, it is important that students learn to express quantum operators corresponding… 
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