Comment on: "Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields". Phys. Rev. A 101, 032102 (2020)

TL;DR

This paper critically examines recent claims about the Aharonov-Bohm effect involving magnetic quadrupole moments, revealing issues with the eigenvalue calculations and their physical interpretations.

Contribution

It clarifies that the previous eigenvalues were derived from multiple models and are not physically reliable, emphasizing the importance of proper mathematical treatment.

Findings

Eigenvalues from arbitrary Frobenius truncation correspond to multiple models.

Predicted oscillator frequencies result from truncation conditions, not physical constraints.

Previous conclusions about the effect's physical implications are unreliable.

Abstract

We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields. We show that the eigenvalues obtained by the authors from an arbitrary truncation of the Frobenius power series correspond to more than one model and, consequently, are unsuitable for drawing any sound physical conclusion. Besides, the prediction of allowed oscillator frequencies is a mere consequence of the truncation condition just mentioned.