Aharonov-Bohm and Aharonov-Casher Effects: Connections to Dynamics of Topological Singularities

TL;DR

This paper explores the Aharonov-Bohm and Aharonov-Casher effects, clarifying misconceptions and demonstrating that the Magnus force is the sole transverse force on a vortex, supported by theoretical and experimental evidence.

Contribution

It reveals the connection between the Aharonov-Bohm and Aharonov-Casher effects and establishes the Magnus force as the only transverse force on a vortex.

Findings

Incomplete understanding of A-B effect can mislead A-C effect interpretation

Magnus force is the only transverse force on a vortex

The conclusion is supported by both theoretical analysis and experimental data

Abstract

We analyze the physical processes involved in the Aharonov-Bohm (A-B) and the Aharonov-Casher (A-C) effects, showing that an incomplete A-B effect knowledge can lead a totally wrong conclusion on the A-C effect. Based on this we demonstrate that the Magnus force, the net force, is the only transverse force on a moving vortex, in analogous to the net charge in A-C effect. This conclusion has been arrived both theoretically and experimentally.