Spontaneous photon-emission from a non-relativistic free charged particle in collapse models: A case-study

TL;DR

This paper investigates the photon emission spectrum of a non-relativistic charged particle interacting with classical noise, providing exact solutions and clarifying previous ambiguities in the spectrum calculation.

Contribution

It offers an exact solution for the photon emission spectrum of a free or harmonically bound particle under collapse models, clarifying prior uncertainties.

Findings

Exact spectrum formulas derived for free and bound particles

Clarification of mathematical issues in previous spectrum calculations

Insights into noise-induced photon emission mechanisms

Abstract

We study the photon emission rate of a non relativistic charged particle interacting with an external classical noise through its position. Both the particle and the electromagnetic field are quantized. Under only the dipole approximation, the equations of motion can be solved exactly for a free particle, or a particle bounded by an harmonic potential. The physical quantity we will be interested in is the spectrum of the radiation emitted by the particle, due to the interaction with the noise. We will highlight several properties of the spectrum and clarify some issues appeared in the literature, regarding the exact mathematical formula of a spectrum for a free particle.