Perturbations for the Coulomb - Kepler problem on de Sitter space-time

TL;DR

This paper applies perturbation theory to the Dirac Hamiltonian in de Sitter space-time, calculating first and second order effects of gravitational interactions in a cosmological setting.

Contribution

It introduces a perturbative approach to analyze Dirac particles in de Sitter space, focusing on gravitational coupling effects in the Schrödinger picture.

Findings

First and second order perturbation terms computed.

Perturbation effects due to gravitational field quantified.

Framework established for quantum particles in curved spacetime.

Abstract

In the Schrodinger picture of the Dirac quantum mechanics, defined in charts with spatially flat Robertson-Walker metrics and Cartesian coordinates the perturbation theory is applied to the interacting part of the Hamiltonian operator produced by the minimal coupling with the gravitational field. First and second order perturbations are computed.