A compendium of photon emission rates, absorption cross sections and scattering cross sections

TL;DR

This paper compiles quantum mechanical equations for photon emission, absorption, and scattering, detailing their application to discrete and continuous electron states in various materials.

Contribution

It provides a comprehensive collection of equations for photon-related processes, clarifying their use across different electron state scenarios.

Findings

Unified set of quantum equations for photon processes

Clarification of equations for discrete and continuous states

Useful reference for researchers in quantum optics

Abstract

We provide a compendium of the quantum mechanical equations for photon emission rates, photon absorption cross sections, and photon scattering cross sections. For each case, the different equations that apply for discrete or continuous electron states of the emitting, absorbing, or scattering material are given.