Eur. Phys. J. D (2021) 75: 239
https://doi.org/10.1140/epjd/s10053-021-00254-w

Regular Article – Atomic Physics

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

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, PB, Brazil

^b kbakke@fisica.ufpb.br

Received: 29 July 2021
Accepted: 23 August 2021
Published online: 6 September 2021

Abstract

We analyse the attractive inverse-square-type potential that arises from the interaction of the magnetic quadrupole moment of a neutral particle with the magnetic field. Then, we search for bound state solutions to the Schrödinger equation. Besides, we analyse the repulsive inverse-square-type potential that arises from the interaction of the magnetic quadrupole moment of a neutral particle with the magnetic field. Thus, we discuss the influence of this repulsive inverse-square-type potential on the neutral particle subject to two cylindrical surfaces and a cylindrical surface.