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Title: Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field

Abstract

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.

Authors:
;  [1]
  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, PB (Brazil)
Publication Date:
OSTI Identifier:
22479689
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 6; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; COULOMB FIELD; HARMONIC OSCILLATORS; MAGNETIC FIELDS; POTENTIALS; QUADRUPOLE MOMENTS; QUANTUM NUMBERS

Citation Formats

Fonseca, I. C., and Bakke, K., E-mail: kbakke@fisica.ufpb.br. Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field. United States: N. p., 2015. Web. doi:10.1063/1.4922657.
Fonseca, I. C., & Bakke, K., E-mail: kbakke@fisica.ufpb.br. Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field. United States. doi:10.1063/1.4922657.
Fonseca, I. C., and Bakke, K., E-mail: kbakke@fisica.ufpb.br. 2015. "Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field". United States. doi:10.1063/1.4922657.
@article{osti_22479689,
title = {Quantum aspects of a moving magnetic quadrupole moment interacting with an electric field},
author = {Fonseca, I. C. and Bakke, K., E-mail: kbakke@fisica.ufpb.br},
abstractNote = {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.},
doi = {10.1063/1.4922657},
journal = {Journal of Mathematical Physics},
number = 6,
volume = 56,
place = {United States},
year = 2015,
month = 6
}