The Dirac particle on de Sitter background

TL;DR

This paper presents an analytical solution to the Dirac equation in a de Sitter background, expressing energy eigenspinors with angular spinors and radial functions in a specific static frame.

Contribution

It provides the first explicit analytical solutions for Dirac particles in de Sitter space using a special static frame approach.

Findings

Energy eigenspinors expressed in terms of angular spinors

Radial wave functions derived explicitly

Solution facilitates further studies of fermions in curved spacetime

Abstract

We show that the Dirac equation on de Sitter background can be analytically solved in a special static frame where the energy eigenspinors can be expressed in terms of usual angular spinors known from special relativity, and a pair of radial wave functions.