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

2021 ◽  
Vol 62 (1) ◽  
pp. 014101
Author(s):  
Francisco M. Fernández
Keyword(s):  
Electric Field ◽  
Quadrupole Moment ◽  
Magnetic Quadrupole ◽  
Math Phys ◽  
Quantum Aspects

scholarly journals Comment on: “Some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials”

2020 ◽  
Vol 35 (25) ◽  
pp. 2075002
Author(s):  
Francisco M. Fernández
Keyword(s):  
Electric Field ◽  
Quadrupole Moment ◽  
Bound States ◽  
Electric Quadrupole ◽  
Bound State ◽  
Electric Quadrupole Moment ◽  
Bound State Spectrum ◽  
Moving Particle ◽  
Quantum Aspects

We analyze the results obtained from a model consisting of the interaction between the electric quadrupole moment of a moving particle and an electric field. We argue that the system does not support bound states because the motion along the [Formula: see text] axis is unbounded. It is shown that the author obtains a wrong bound-state spectrum for the motion in the [Formula: see text] plane and that the existence of allowed cyclotron frequencies is an artifact of the approach.

scholarly journals On an atom with a magnetic quadrupole moment subject to harmonic and linear confining potentials

2015 ◽  
Vol 471 (2184) ◽  
pp. 20150362 ◽  
Author(s):  
I. C. Fonseca ◽  
Knut Bakke
Keyword(s):  
External Field ◽  
Electric Field ◽  
Quadrupole Moment ◽  
Coulomb Potential ◽  
Ground State ◽  
Quantum Dynamics ◽  
Quantum Effect ◽  
Angular Frequency ◽  
Quantum Numbers ◽  
Magnetic Quadrupole

The quantum dynamics of an atom with a magnetic quadrupole moment that interacts with an external field subject to harmonic and linear confining potentials is investigated. It is shown that the interaction between the magnetic quadrupole moment and an electric field gives rise to an analogue of the Coulomb potential and, by confining this atom to harmonic and linear confining potentials, a quantum effect characterized by the dependence of the angular frequency on the quantum numbers of the system is obtained. In particular, it is shown that the possible values of the angular frequency associated with the ground state of the system are determined by a third-degree algebraic equation.

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