2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176182We show that the phase transition from the decelerating universe to the accelerating universe, which is of relevance to the cosmological coincidence problem, is possible in the semiclassically quantized two-dimensional dilaton gravity by taking into account the noncommutative field variables during the finite time. Initially, the quantum-mechanically induced energy from the noncommutativity among the fields makes the early universe decelerate and subsequently the universe is accelerating because the dilaton driven cosmology becomes dominant later.14 pages, 2 figures; to appear in Phys. Lett. BGeneral Relativity and Quantum Cosmologytext