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arXiv:1405.5135 · Annals of Physics

Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field

K. Bakke

Published Nov 21, 2013• 66 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2013.11.013

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The quantum dynamics of a moving particle with a magnetic quadrupole moment that interacts with electric and magnetic fields is introduced. By dealing with the interaction between an electric field and the magnetic quadrupole moment, it is shown that an analogue of the Coulomb potential can be generated and bound state solutions can be obtained. Besides, the influence of the Coulomb-type potential on the harmonic oscillator is investigated, where bound state solutions to both repulsive and attractive Coulomb-type potentials are achieved and the arising of a quantum effect characterized by the dependence of the harmonic oscillator frequency on the quantum numbers of the system is discussed.
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.