Inverse-square-type potential from the interaction of the magnetic quadrupole moment of a neutral particle with a magnetic field

2021 ◽  
Vol 75 (9) ◽  
Author(s):  
S. L. R. Vieira ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Quadrupole Moment ◽  
Neutral Particle ◽  
Magnetic Quadrupole ◽  
Type Potential

scholarly journals On a Neutral Particle with a Magnetic Quadrupole Moment in a Uniform Effective Magnetic Field

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
I. C. Fonseca ◽  
K. Bakke
Keyword(s):  
Magnetic Field ◽  
Quadrupole Moment ◽  
Bound States ◽  
Neutral Particle ◽  
Cyclotron Frequency ◽  
Energy Levels ◽  
Type System ◽  
Angular Frequency ◽  
Quantum Numbers ◽  
Magnetic Quadrupole

Quantum effects on a Landau-type system associated with a moving atom with a magnetic quadrupole moment subject to confining potentials are analysed. It is shown that the spectrum of energy of the Landau-type system can be modified, where the degeneracy of the energy levels can be broken. In three particular cases, it is shown that the analogue of the cyclotron frequency is modified, and the possible values of this angular frequency of the system are determined by the quantum numbers associated with the radial modes and the angular momentum and by the parameters associated with confining potentials in order that bound states solutions can be achieved.

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