A Semi-Analytical Method for the Evaluation of the Power Spectrum of a Rotating Observer

TL;DR

This paper introduces a semi-analytical approach to evaluate the power spectrum of a rotating Unruh detector, comparing it with known relativistic results, enhancing understanding of detector responses in non-inertial frames.

Contribution

The paper presents a novel semi-analytical method using residue calculus for calculating the power spectrum of a rotating detector, bridging a gap in analytical techniques for non-inertial motion.

Findings

The semi-analytical method successfully reproduces known relativistic spectra.

The approach provides new insights into the detector's response in non-inertial frames.

Comparison confirms the method's validity against established results.

Abstract

In this letter we propose a semi-analitical method of evaluation of the power spectrum of a circular moving Unruh-type detector using the method of residue and compare the spectrum with the already known result in the relativistic limit.