Model of the quantized electromagnetic field in the presence of classical sources

TL;DR

This paper rigorously models the quantized electromagnetic field interacting with classical and quantum currents, confirming known results for classical sources and exploring a toy quantum current model.

Contribution

Provides a rigorous framework for the quantized electromagnetic field with classical and quantum sources, including a novel toy quantum current model.

Findings

Agreement with established results for classical currents

Development of a toy model for quantum currents

Rigorous mathematical description of the interaction

Abstract

We give a rigorous description of a model of the quantized electromagnetic field interacting with quantized current fields. In the special case of classical currents our results agree with common knowledge about the problem. A toy model of a quantum current is studied as well.