2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/123521This papers presents a formalism describing the dynamics of a quantum particle in a one-dimensional tilted time-dependent lattice. The description uses the Wannier-Stark states, which are localized in each site of the lattice and provides a simple framework leading to fully-analytical developments. Particular attention is devoted to the case of a time-dependent potential, which results in a rich variety of quantum coherent dynamics is found.8 pages, 6 figures, submitted to PRAQuantum Physicstext