On the Green's function and iterative solutions of Loop Quantum Cosmology

TL;DR

This paper derives the Green's function for the difference equation in loop quantum cosmology and demonstrates its application through an iterative solution and Bohmian trajectory analysis.

Contribution

It introduces a method to compute the Green's function for loop quantum cosmology's difference equation and applies it to obtain solutions and trajectories.

Findings

Derived the Green's function for the difference equation.

Provided an iterative solution method for closed models.

Evaluated Bohmian trajectories using the Green's function.

Abstract

Here we shall find the green's function of the difference equation of loop quantum cosmology. To illustrate how to use it, we shall obtain an iterative solution for closed model and evaluate its corresponding Bohmian trajectory.