Reconstructing Dark Energy Potentials From Parameterized Deceleration Parameters

In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter $q(z)$, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy $V(\varphi )$ and the cosmological parameters, such as the dimensionless energy density ${\mathrm{\Omega }}_{\varphi }$, ${\mathrm{\Omega }}_m$, and the state parameter $w_{\varphi }$, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters $q(z)=a+\frac{bz}{1+z}$ and $q(z)=1\mathrm{/}2+\frac{az+b}{(1+z{)}^2}$, the evolution of these parameters and the reconstructed potentials $V(\varphi )$ are plotted and analyzed. It’s found that the potentials run away with the evolution of universe.