A semiclassical treatment of the interaction of non-uniform electric fields with the electric quadrupole moment of a neutral particle

Abstract

By applying the WKB (Wentzel, Kramers, Brillouin) approximation, we analyse the interaction of the electric quadrupole moment of a neutral particle with radial electric fields produced by a non-uniform electric charge densities. Then, we show particular cases of this interaction where a discrete spectrum of energy can be achieved for the s-waves of the neutral particle.

12 pages, no figure

References in corpus (2)

• WKB analysis of edge states in graphene in a strong magnetic field
• Bound states for a Coulomb-type potential induced by the interaction between a moving electric quadrupole moment and a magnetic field

Cited by in corpus (2)

• Comment on: "Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in a rotating frame. Ann. Phys. 412 (2020) 168040''
• Landau Quantization for an electric quadrupole moment of Position-Dependent Mass Quantum Particles interacting with Electromagnetic fields