Quantum conversion

TL;DR

This paper introduces a quantum conversion method that aligns classical electromagnetic field momentum with quantum mechanical momentum, bridging a gap between classical and quantum descriptions of light-matter interactions.

Contribution

The paper proposes a novel quantum conversion technique that transforms classical electromagnetic fields into wave-function equivalent fields, making classical momentum expressions compatible with quantum mechanics.

Findings

Quantum conversion aligns classical and quantum electromagnetic momentum.

Classical field momentum can be transformed to quantum wave-function form.

The approach offers a new perspective on light-matter interaction modeling.

Abstract

The electromagnetic momentum transferred transfered to scattering particles is proportional to the intensity of the incident fields, however, the momentum of single photons ($\hbar k$) does not naturally appear in these classical expressions. Here, we discuss an alternative to Maxwell's stress tensor that renders the classical electromagnetic field momentum compatible to the quantum mechanical one. This is achieved through the introduction of the quantum conversion which allows the transformation, including units, of the classical fields to wave-function equivalent fields.