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The issue of models in the teaching of Quantum Mechanics: the equation Schrödinger for semi-integer spin particles

In this work, we discuss notions of models used in the sciences and, in particular, in the field of Quantum Mechanics, presenting a physical model for semi-integer spin particles. It is based on quantization of a representation of the system performed in phase space, providing the Schrödinger representation that describes semi-integer spin particles. From the solutions of the equation, we derive the usual representations given in the literature in terms of matrices. The advantage of the architecture presented here is the discussion of the spin problem from of Schrödinger’s interpretation of Quantum Mechanics. We thus discuss the possibility of spin being seen as a dynamic variable, replacing its common interpretation as an intrinsic property of the particle. Finally, possibilities of epistemological incursion and didactic transposition were presented, in addition to pointing out the most typical curricular limitations.

Keywords:
Models; semi-integer spin; Schrödinger equation; teaching; Quantum Mechanics


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