2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86661We show the existence of a continuum of Hamiltonian structures for the two-dimensional isotropic harmonic oscillator. In particular, a continuum of Hamiltonian structures having noncommutative coordinates is presented. A study of the symmetries of these structures is performed and their physical plausibility is discussed.3 pages, no figuresGeneral Physicstext