2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149653The classical and quantum dynamics of the noncanonically coupled oscillators is considered. It is shown that though the classical dynamics is well--defined for both harmonic and anharmonic oscillators, the quantum one is well--defined in the harmonic case, admits a hidden (super)Hamiltonian formulation, and thus, preserves the initial operator relations, whereas a na\"ıve quantization of the anharmonic case meets with principal difficulties.revised version -- refs are updatedExactly Solvable and Integrable Systemstext