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On a particle with electric quadrupole moment interacting with a magnetic field subject to a harmonic and a linear confining potentials

K. Bakke

The European Physical Journal PlusJul 1, 20155 citations

Landau quantization for an electric quadrupole moment of position-dependent mass quantum particles interacting with electromagnetic fields

Zeinab Algadhi, Omar Mustafa

arXiv:2001.07385Annals of PhysicsApr 16, 202017 citations

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

K. Bakke

arXiv:1405.5135Annals of PhysicsNov 21, 201366 citations

Reply to the comment by U. Leonhardt on “Aharonov-Bohm scattering of neutral atoms with induced electric dipole moments”

Jürgen Audretsch, Vladimir D. Skarzhinsky

Physics Letters AMar 1, 19992 citations

Some quantum aspects of a particle with electric quadrupole moment interacting with an electric field subject to confining potentials

K. Bakke

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.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.

International Journal of Modern Physics AAug 29, 201422 citations

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

I. C. Fonseca, K. Bakke

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.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.

arXiv:1603.03078Proceedings of the Royal Society A Mathematical Physical and Engineering SciencesDec 1, 201527 citations

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

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