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Acknowledgment I thank Marisol Bermúdez for useful discussions and feedback during the preparation of these notes. I also acknowledge the support from CONACyT Grants 237351 and 237503. The Stone von-Neumann theorem is a cornerstone in quantum mechanics. It establishes the conditions under which representations of the quantum observables are unitarily equivalent. In this work, we are going to describe, in a rather didactical manner, the main aspects of this theorem and its implications in some current research areas of physics.

Una visita al Teorema de Stone-von Neumann