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Journal of Mathematical Physics

Comment on: “Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field” [J. Math. Phys. 56, 062107 (2015)]

Francisco Marcelo Fernández

Published Jan 1, 2021• 0 citations
Publisher

Abstract

We analyze the results obtained for the quantum dynamics of a moving particle with a magnetic quadrupole moment interacting with electric and magnetic fields. We argue that there are no bound states contrary to what the authors state. It is shown that the proposed method is unsuitable for obtaining all the bound states and that the existence of allowed oscillator frequencies is an artifact of the approach.

DOI
10.1063/5.0015884

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We analyze the results obtained for the quantum dynamics of a moving particle with a magnetic quadrupole moment interacting with electric and magnetic fields. We argue that there are no bound states contrary to what the authors state. It is shown that the proposed method is unsuitable for obtaining all the bound states and that the existence of allowed oscillator frequencies is an artifact of the approach.
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We discuss the arising of bound states solutions to the Schrödinger equation due to the presence of a Coulomb-type potential induced by the interaction between a moving particle possessing an electric quadrupole moment and an electric field. Besides, we study the influence of the Coulomb-type potential on the harmonic oscillator by showing a quantum effect characterized by the dependence of the angular frequency on the quantum numbers of the system. Finally, we consider the quantum particle subject to harmonic and linear confining potentials and investigate the influence of the analogue of the Coulomb potential.
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