Quantum Potential Approach to Class of Cosmological Models

TL;DR

This paper applies the quantum potential approach to quantum cosmology, transforming the wavefunction into explicit equations for universe evolution, and uses quantum canonical transformations to solve and analyze these models.

Contribution

It introduces a method to convert quantum cosmological models into solvable forms using quantum potential and canonical transformations, enabling explicit solutions.

Findings

Explicit solutions for quantum cosmological models

Demonstration of time evolution recovery

Application of quantum potential in cosmology

Abstract

In this paper we discuss the quantum potential approach of Bohm in the context of quantum cosmological model. This approach makes it possible to convert the wavefunction of the universe to a set of equations describing the time evolution of the universe. Following Ashtekar et.\ al., we make use of quantum canonical transformation to cast a class of quantum cosmological models to a simple form in which they can be solved explicitly, and then we use the solutions do recover the time evolution.