2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95762This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a simple framework allowing fully-analytical developments. Analytic solutions describing the particle motion are explicit derived, and the resulting dynamics is studied.6 pages, 2 figs, submitted to EPJD, Springer Verlag styleQuantum Physicstext