Quintom potentials from quantum cosmology using the FRW cosmological model

TL;DR

This paper constructs quintom dark energy potentials within a flat FRW universe during inflation using a Bohm-like quantum approach, deriving analytical wave functions and classical trajectories.

Contribution

It introduces a novel method to derive quintom potentials and classical trajectories using the amplitude-real-phase approach in quantum cosmology.

Findings

Analytical wave functions for the universe obtained.

Classical trajectories in the inflation era derived.

Specific quintom potentials identified.

Abstract

We construct the quintom potential of dark energy models in the framework of spatially flat Friedmann-Robertson Walker universe in the inflationary epoch, using the Bohm like approach, known as amplitude-real-phase. We find some potentials for which the wave function of the universe is found analytically and we have obtained the classical trajectories in the inflation era.