Reconstructing dark energy potentials from parameterized deceleration parameters

In this paper, the properties of dark energy areinvestigated according to the parameterized deceleration parameter$q(z)$, which is used to describe the extent of the acceleratingexpansion of the universe. The potential of dark energy $V(phi)$and the cosmological parameters, such as the dimensionless energydensity $varOmega_{phi}$, $varOmega_{m}$, and the state parameter$w_phi$, are connected to it. Concretely, by giving two kinds ofparameterized deceleration parameters $q(z)=a+{bz}/({1+z})$ and$q(z)={1}/{2}+({az+b})/{(1+z)^2}$, the evolution of these parametersand the reconstructed potentials $V(phi)$ are plotted and analysed.It is found that the potentials run away with the evolution ofuniverse.