On the Aharonov-Bohm Effect and Why Heisenberg Captures Nonlocality Better Than Schr\"odinger

TL;DR

This paper explores the historical development of the Aharonov-Bohm effect, emphasizing the significance of modulo momentum and Heisenberg representation in understanding quantum nonlocality, and compares Heisenberg's approach to Schrödinger's.

Contribution

It introduces the importance of modulo momentum and Heisenberg representation for analyzing nonlocal quantum phenomena, offering a new perspective beyond traditional Schrödinger-based approaches.

Findings

Heisenberg captures quantum nonlocality more effectively than Schrödinger.

Modulo momentum plays a crucial role in understanding the Aharonov-Bohm effect.

Historical insights from Bristol and Akira Tonomura's experiments support the theoretical ideas.

Abstract

I discuss in detail the history of the Aharonov-Bohm effect in Bristol and my encounters with Akira Tonomura later on. I then propose an idea that developed following the publication of the Aharonov-Bohm effect, namely the importance of modulo momentum and Heisenberg representation in dealing with non-local quantum phenomena.