2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57604We study ergodic averages for a class of pseudodifferential operators on the flat N-dimensional torus with respect to the Schrödinger evolution. The later can be consider a quantization of the geodesic flow on $\bT^N$. We prove that, up to semi-classically negligible corrections, such ergodic averages are translationally invariant operators.16 pages, latexMathematical Physics58J50, 58J40, 81S10text