Induced Fractional Zero-Point Canonical Angular Momentum on Charged Particles of Aharonov - Bohm Vector Potential and "Spectator" Magnetic Field

TL;DR

This paper demonstrates that the Aharonov-Bohm vector potential can induce fractional zero-point angular momentum in charged particles only when combined with a spectator magnetic field, revealing new quantum effects and dynamics.

Contribution

It shows that a spectator magnetic field is essential for the AB vector potential to induce fractional angular momentum in the zero kinetic energy limit, a novel quantum effect.

Findings

AB vector potential alone cannot induce fractional angular momentum in the zero kinetic energy limit

Spectator magnetic field enables the AB potential to induce fractional angular momentum

Spectator field does not contribute directly but ensures non-trivial quantum dynamics

Abstract

The induced fractional zero-point canonical angular momentum on charged particles by the Aharonov - Bohm (AB) vector potential is realized via modified combined traps. It explores new features for this type of quantum effects: In a limit of vanishing mechanical kinetic energy the AB vector potential alone cannot induce a fractional zero-point canonical angular momentum on charged particles at the quantum mechanical level in the AB magnetic field-free region; But for the case of the AB vector potential with another one of a "spectator" magnetic field the AB vector potential induces a fractional zero-point canonical angular momentum in the same limit. The "spectator" one does not contribute to such a fractional zero-point quantity, but plays essential role in guaranteeing non-trivial dynamics survived in this limit at the quantum mechanical level. These results are significance in investigations of the AB effects and related fields for both theories and experiments.