Iso-spectral potential and inflationary quantum cosmology

TL;DR

This paper constructs a family of isospectral scalar potentials for inflationary cosmology using quantum mechanics factorization, offering new mechanisms to end inflation and initiate new inflationary periods.

Contribution

It introduces a novel method to generate isospectral potentials in quantum cosmology, enabling new inflationary dynamics and extending applicability to other models.

Findings

Potential to end inflation via isospectral potentials

Possibility of multiple inflationary epochs

Extension to various cosmological models

Abstract

Using the factorization approach of quantum mechanics, we obtain a family of isospectral scalar potentials for power law inflationary cosmology. The construction is based on a scattering Wheeler-DeWitt solution. These iso-spectrals have new features, they give a mechanism to end inflation, as well as the possibility to have new inflationary epochs. The procedure can be extended to other cosmological models.