Non-thermal photons and a Fermi-Dirac spectral distribution

TL;DR

This paper explores how an accelerated electron can emit classical electromagnetic radiation with a Fermi-Dirac spectral distribution, revealing a surprising link between acceleration, quantum field effects, and spectral properties.

Contribution

It demonstrates the classical emission of Fermi-Dirac distributed radiation from an accelerated charge and connects this to semi-classical mirror models with quantized fields.

Findings

Emission spectrum follows Fermi-Dirac distribution in specific regimes

Classical radiation from accelerated charge exhibits quantum-like spectral features

Mapping to mirror models reveals underlying quantum field characteristics

Abstract

Although non-intuitive, an accelerated electron along a particular trajectory can be shown to emit classical electromagnetic radiation in the form of a Fermi-Dirac spectral distribution when observed in a particular angular regime. We investigate the relationship between the distribution, spectrum, and particle count. The result for the moving point charge is classical, as it accelerates along an exactly known trajectory. We map to the semi-classical regime of the moving mirror model with a quantized spin-0 field. The scalars also possess a $\beta$ Bogoliubov coefficient distribution with Fermi-Dirac form in the respective frequency regime.