2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221839It is shown that some operators in quantum mechanics have hidden structures that are unobservable in principle. These structures are based on a supersymmetric decomposition of the momentum operator, and a nonassociative decomposition of the spin operator.text is changed, acknowledgment is addedQuantum PhysicsMathematical PhysicsRings and Algebrastext