  In this paper, we study the changes of quantum effects of a growing universe
by using Wheeler-DeWitt equation (WDWE) together with de Broglie-Bohm quantum
trajectory approach. From WDWE, we obtain the quantum modified Friedmann
equations which have additional terms called quantum potential compared to
standard Friedmann equations. The quantum potential governs the behavior of the
early universe, providing energy for inflation, while it decreases rapidly as
the universe grows. The quantum potential of the grown-up universe is much
smaller than that required for accelerating expansion. This indicates that
quantum effects of our universe cannot be treated as a candidate for dark
energy.
