Eur. Phys. J. B (2012) 85: 354
https://doi.org/10.1140/epjb/e2012-30490-6

Regular Article

A geometric approach to confining a Dirac neutral particle in analogous way to a quantum dot

Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, PB, Brazil

^a e-mail: kbakke@fisica.ufpb.br

Received: 20 June 2012
Received in final form: 23 July 2012
Published online: 24 October 2012

Abstract

We discuss a geometric approach to confining a Dirac neutral particle with a permanent magnetic dipole moment interacting with external fields to a hard-wall confining potential in the Minkowski spacetime through noninertial effects. We discuss the behaviour of external fields induced by noninertial effects, and a case where relativistic bound states can be achieved in analogous way to having a Dirac particle confined to a quantum dot. We show that this confinement of a Dirac neutral particle analogous to a quantum dot arises from noninertial effects that give rise to the geometry of the manifold playing the role of a hard-wall confining potential. We also discuss the possible use of this mathematical model in studies of noninertial effects on condensed matter systems described by the Dirac equation.