# Noether Symmetry analysis in Chameleon Field Cosmology

## TL;DR

This paper applies Noether symmetry analysis to chameleon field cosmology, exploring classical and quantum aspects, including solutions to the Wheeler-DeWitt equation, to understand scalar field dynamics in flat FLRW universe.

## Contribution

It introduces a Noether symmetry approach to analyze chameleon field cosmology at both classical and quantum levels, deriving solutions to the Wheeler-DeWitt equation.

## Key findings

- Conserved charges are identified in the cosmological model.
- Solutions to the Wheeler-DeWitt equation are obtained.
- The analysis provides insights into scalar field behavior in quantum cosmology.

## Abstract

This work deals with chameleon field cosmology (a scalar field nonminimally coupled to cold dark matter) in the background of flat Friedmann-Lemaitre-Robertson-Walker (FLRW) space-time. Both classical and quantum cosmology have been investigated using Noether symmetry analysis of the underlying physical system. The Wheeler-DeWitt (WD) equation has been constructed on the minisuperspace and solutions have been obtained using conserved charge.