2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144961Toy models of a non-associative quantum mechanics are presented. The Heisenberg equation of motion is modified using a non-associative commutator. Possible physical applications of a non-associative quantum mechanics are considered. The idea is discussed that a non-associative algebra could be the operator language for the non-perturbative quantum theory. In such approach the non-perturbative quantum theory has observables and unobservables quantities.main formulas are coloredQuantum PhysicsHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryRings and Algebrastext