2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57960We present general principles for the preservation of a.c. spectrum under weak perturbations. The Schrodinger operators on the strip and on the Caley tree (Bethe lattice) are considered.Corrected and extended versionMathematical PhysicsSpectral Theory35P25, 47A40On the preservation of absolutely continuous spectrum for Schrodinger operatorstext