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Students struggle to learn quantum mechanics. Wavefunctions of bound states are often laborious to compute. Although approximation methods are available, considerable effort is needed to compute and then visualize the wavefunctions. In this paper, a tool is presented to compute and visualize approximate wavefunctions for bound states in one dimension. This resource can be used in classrooms or for self-study and can be accessed at the following link ( https://github.com/Finn-Christie64/QM-tools-for-teaching/blob/main/QM_tools.py ).

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Numerical Solution for the One-Dimensional Schrodinger Equation and Allowed Energies of Quantized Systems

  • 会议论文

  • 发表日期：

    2026年

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  • Finn Christie,
  • Gregory G. Wood

摘要

Students struggle to learn quantum mechanics. Wavefunctions of bound states are often laborious to compute. Although approximation methods are available, considerable effort is needed to compute and then visualize the wavefunctions. In this paper, a tool is presented to compute and visualize approximate wavefunctions for bound states in one dimension. This resource can be used in classrooms or for self-study and can be accessed at the following link ( https://github.com/Finn-Christie64/QM-tools-for-teaching/blob/main/QM_tools.py ).