2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58332Harmonic oscillator in Fock space is defined. Isospectral as well as polynomiality-of-eigenfunctions preserving, translation-invariant discretization of the harmonic oscillator is presented. Dilatation-invariant and polynomiality-of-eigenfunctions preserving discretization is also given.9pp, AMSTeX, Contribution to the Proceedings of the Conference SIDE III,Roma, Italy, May 1998, to be published by CRM Press, CanadaMathematical PhysicsQuantum Algebratext