Non-thermal photons and a Fermi-Dirac spectral distribution

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.

4 pages, 3 figures

References in corpus (3)

• Black hole collapse simulated by vacuum fluctuations with a moving semi-transparent mirror
• Quantum power distribution of relativistic acceleration radiation: classical electrodynamic analogies with perfectly reflecting moving mirrors
• Stopping to Reflect: Asymptotic Static Moving Mirrors as Quantum Analogs of Classical Radiation

Cited by in corpus (4)

• Classical acceleration temperature from evaporated black hole remnants and accelerated electron-mirror radiation
• Electron-mirror duality and thermality
• There and Back Again: Quantum Radiation from Round-trip Flying Mirrors
• Classical Acceleration Temperature (CAT) in a Box