Equivalent approaches to electromagnetic field quantization in a linear dielectric

TL;DR

This paper demonstrates that the minimal coupling method, the Huttner-Barnet approach, and the phenomenological approach to electromagnetic field quantization in a linear dielectric are fundamentally equivalent, differing only by a canonical transformation.

Contribution

It establishes the equivalence of different quantization methods for linear dielectrics, clarifying their relationships and underlying assumptions.

Findings

Minimal coupling method is equivalent to Huttner-Barnet approach.

All three methods are related by a canonical transformation.

The equivalence simplifies understanding of electromagnetic quantization in dielectrics.

Abstract

It is shown that the minimal coupling method is equivalent to the Huttner-Barnet and phenomenological approaches up to a canonical transformation.