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Didactic transposition problems for a classical system and a quantum one: the case of the particle in a box

This work examines the model of a classical/quantum particle confined in a one-dimensional box. In classical terms its kinematic properties: position, velocity and acceleration are described. In a quantum setting, these characteristics are absent. We intend to discuss the possible didactic transposition necessary to introduce its quantum treatment. The results are presented as a suggestion for educational purposes; in particular for the case of some difficulties on the didactic transposition.

Keywords:
Physics teaching; quantum mechanics; didactic transposition


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