Non-relativistic Matter and Quantized Radiation

TL;DR

This paper reviews the spectral and dynamical properties of atoms and molecules below ionization energy, emphasizing simple models with one electron and scalar bosons, and discusses non-relativistic QED in an accessible manner.

Contribution

It provides a didactic overview of non-relativistic matter and quantized radiation, highlighting recent work and simplifying complex models for better understanding.

Findings

Spectral properties of one-electron atoms and molecules

Dynamical behaviors below ionization threshold

Overview of non-relativistic QED models

Abstract

This is a didactic review of spectral and dynamical properties of atoms and molecules at energies below the ionization threshold, the focus being on recent work in which the author was involved. As far as possible, the results are described using a simple model with \emph{one} electron only, and with \emph{scalar} bosons. The main ideas are explained but no complete proofs are given. The full-fledged standard model of non-relativistic QED and various of its aspects are described in the appendix.