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Non-thermal photons and a Fermi-Dirac spectral distribution
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Non-thermal photons and a Fermi-Dirac spectral distribution
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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.
Forward citations
Cited by 2 Pith papers
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Apparent Fermionic Spectra for Bosonic Radiation: Accelerated Charge Kinematics
Accelerated point charges produce apparent Fermi-Dirac photon spectra via special kinematics without thermal equilibrium or horizons.
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An advanced undergraduate derivation of acceleration thermality
An exactly solvable non-uniform electron trajectory yields classical radiation whose spectrum is precisely one-dimensional Planck, defining temperature T = ħκ/(2π k_B c).
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