Aharonov-Bohm effect and classical Hamiltonian mechanics

TL;DR

This paper demonstrates that the Aharonov-Bohm effect can be derived from classical Hamilton-Jacobi mechanics, suggesting it could have been anticipated before the development of quantum mechanics.

Contribution

It provides a classical Hamiltonian mechanics perspective on the Aharonov-Bohm effect, challenging the notion that it is solely a quantum phenomenon.

Findings

Aharonov-Bohm effect derivable from Hamilton-Jacobi equation

Potential prediction of the effect before quantum mechanics

Implication of classical mechanics in quantum phenomena

Abstract

It is shown that Aharonov-Bohm effect may be derived from Hamilton-Jacobi equation. It might have been predicted well before the quantum mechanics creation by Heisenberg and Schroedinger.