Semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with axial electric fields in a uniformly rotating frame
type: Item
instance of: scholarly article
title: Semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with axial electric fields in a uniformly rotating frame
author: S. L. R. Vieira
author: K. Bakke
published in: Foundations of Physics
publication date: 2022-01-31T00:00:00Z
review text: The authors consider the existence of electric fields produced by magnetic current densities by exploring the hypothesis of magnetic monopoles. They consider uniformly rotating frame with the purpose of searching for effects of rotation on the interaction of axial electric fields with the magnetic quadrupole moment of a neutral particle. By applying WKB approximation, they search for bound state solutions to the Schrödinger equation in two particular cases. The paper contains five sections. The first one is Introduction. In Section 2 the authors introduce the Hamiltonian operator that describes the interaction of a moving neutral particle with magnetic quadrupole moment with electric and magnetic fields and they consider a uniformly rotating frame. In Section 3 they use WKB- method in search of bound state solutions that stem from the interaction of the magnetic quadrupole moment with an axial parabolic electric field. In Section 4, they use the WKB approximation in search of bound state solutions that stem from the interaction of the magnetic quadrupole moment with an axial linear electric feld. Section 5 contains the conclusions of the authors. The authors successfully apply the WKB method to solve the problem stated.
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 81V60
Mathematics Subject Classification ID: 81P55
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 7467453
zbMATH Keywords: WKB-method
zbMATH Keywords: semiclassical approximation
zbMATH Keywords: magnetic quadrupole moment
zbMATH Keywords: neutral particles
zbMATH Keywords: rotating reference frame
reviewed by: Vasil G. Angelov
MaRDI profile type: Publication
full work available at URL: s10701-020-00348-2
OpenAlex ID: W3035412878
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DOI: 10.1007/S10701-020-00348-2
description: scientific article; zbMATH DE number 7467453