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
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.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012