On the interaction of a magnetic quadrupole moment with an electric field in a rotating frame

TL;DR

This paper investigates the quantum behavior of a neutral particle with a magnetic quadrupole moment in a radial electric field within a rotating frame, correcting previous misconceptions about the eigenvalues and cyclotron frequency.

Contribution

It provides a corrected analytical solution for the eigenvalues of the system, addressing inaccuracies caused by earlier series truncation methods.

Findings

Previous allowed cyclotron frequencies are artifacts of approximation.

Analytical eigenvalues differ significantly from earlier results.

Noninertial effects influence the quantum states of particles with magnetic quadrupole moments.

Abstract

We discuss results obtained recently for a quantum-mechanical model given by a neutral particle with a magnetic quadrupole moment in a radial electric field and a scalar potential proportional to the radial variable in cylindrical coordinates that also includes the noninertial effects of a rotating reference frame. We show that the conjectured allowed values of the cyclotron frequency are a mere artifact of the truncation of the power series used to solve the radial eigenvalue equation. Our analysis proves that the analytical expression for the eigenvalues are far from correct.