Radiation from perfect mirrors starting from rest and the black body spectrum

TL;DR

This paper investigates the radiation emitted by a perfect mirror starting from rest, demonstrating that deriving the black body spectrum requires analyzing the entire mirror trajectory, not just its asymptotic behavior.

Contribution

It shows that accurate derivation of the black body spectrum from mirror radiation necessitates considering the full trajectory, challenging previous approaches focusing only on asymptotic segments.

Findings

Black body spectrum derived from mirror radiation

Full trajectory analysis is essential for correct results

Highlights importance of complete trajectory consideration

Abstract

We address the question of radiation emission from a perfect mirror that starts from rest and follows the trajectory z=-ln(cosht) till t->Infinity. We show that a correct derivation of the black body spectrum via the calculation of the Bogolubov amplitudes requires consideration of the whole trajectory and not just of its asymptotic part.