Induced Fractional Zero-Point Angular Momentum for Charged Particles of the Bohm-Aharonov System by means of a "Spectator" Magnetic Field

TL;DR

This paper demonstrates how a 'spectator' magnetic field enables the induction of fractional zero-point angular momentum in charged particles via the Bohm-Aharonov effect, highlighting a novel quantum mechanism.

Contribution

It introduces a 'spectator' magnetic field mechanism that allows the Bohm-Aharonov vector potential to induce fractional angular momentum, which was not possible without the spectator.

Findings

Spectator magnetic field is essential for fractional angular momentum induction.

B-A vector potential alone cannot induce fractional angular momentum in the absence of the spectator.

The mechanism has implications for both theoretical understanding and experimental investigation of B-A effects.

Abstract

An induced fractional zero-point angular momentum of charged particles by the Bohm-Aharonov (B-A) vector potential is realized via a modified combined trap. It explores a "spectator" mechanism in this type of quantum effects: In the limit of the kinetic energy approaching one of its eigenvalues the B-A vector potential alone cannot induce a fractional zero-point angular momentum at quantum mechanical level in the B-A magnetic field-free region; But when there is a "spectator" magnetic field the B-A vector potential induces a fractional zero-point angular momentum. The "spectator" does not contribute to such a fractional angular momentum, but plays essential role in guaranteeing non-trivial dynamics at quantum mechanical level in the required limit. This "spectator" mechanism is significant in investigating the B-A effects and related topics in both aspects of theory and experiment.