Electromagnetic Analogs of Quantum Mechanical Tunnelling

TL;DR

This paper develops a theoretical framework linking quantum tunneling to electromagnetic analogs, enabling validation of quantum emission models through macroscopic electromagnetic experiments.

Contribution

It introduces a novel transfer matrix-based approach to establish electromagnetic analogs for quantum tunneling, facilitating validation of quantum models.

Findings

Derived the quantum-electromagnetic correspondence using transfer matrices

Compared quantum and electromagnetic systems in analytically solvable cases

Outlined a framework for future validation and verification work

Abstract

In this paper, we introduce the theoretical framework underlying our proposed methodology of verification and validation (V&V) for quantum mechanical emission models using analogous macroscopic electromagnetic systems. We derive the correspondence between quantum mechanics and electromagnetism using the transfer matrix approach, and describe the electromagnetic analog that will be used to anchor the atomistic quantum tunneling simulations. Finally, we illustrate this correspondence by comparing the quantum mechanical and electromagnetic systems for some simple, analytically soluble examples and outline future V&V work based on the framework presented here.