2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58241The discrete Schrödinger equation with potential belonging to $\F_{2}$ is solved explicitly. On this base the associated (1+1)-dimensional cellular automaton is examined and corresponding set of integrals of motions is constructed.LaTeX 2.09, 12 pages, 1 figure in textMathematical PhysicsCellular Automata and Lattice GasesExactly Solvable and Integrable Systemstext