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Keywords:

  • Electric quadrupole moment;
  • scalar Aharonov-Bohm effect;
  • quantum dot;
  • quantum antidot.

Abstract

In this work, quantum effects are discussed which arise from the interaction between an electric quadrupole moment and electric fields. It is shown that, by choosing a diagonal electric quadrupole tensor whose components are constants, the interaction between an electric quadrupole moment and electric fields gives rise to the scalar Aharonov-Bohm effect and to bound states analogous to the confinement of a quantum particle to a quantum dot. Moreover, the influence of a constant force field on the confinement analogous to a quantum dot, and the influence of an antidot-like potential on the Landau levels of an electric quadrupole moment are discussed.