Symmetries in non-relativistic quantum electrodynamics

TL;DR

This paper defines and analyzes fundamental symmetries like rotation, parity, and time reversal in non-relativistic quantum electrodynamics, providing a unified framework and extending key theorems such as Kramer's degeneracy.

Contribution

It introduces a comprehensive description of symmetries in non-relativistic QED and generalizes theorems related to degeneracy, enhancing theoretical understanding.

Findings

Symmetries are characterized in Fock and Schrödinger representations.

Theorems about Kramer's degeneracy are generalized and improved.

A unified framework for symmetry transformations in non-relativistic QED.

Abstract

We define symmetries in non-relativistic quantum electrodynamics, which have the physical interpretation of rotation, parity and time reversal symmetry. We collect transformation properties related to these symmetries in Fock space representation as well as in the Schr\"odinger representation. As an application, we generalize and improve theorems about Kramer's degeneracy in non-relativistic quantum electrodynamics.