• DOI:10.1142/S0218271818500050
• Corpus ID: 119417358

Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation

@article{Vitria2017AharonovBohmEF,
  title={Aharonov-Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a space-like dislocation},
  author={R. L. L. Vit{\'o}ria and Knut Bakke},
  journal={arXiv: Quantum Physics},
  year={2017}
}

• R. L. L. Vitória, K. Bakke
• Published 11 July 2017
• Physics
• arXiv: Quantum Physics

We investigate the analogue effect of the Aharonov-Bohm effect for bound states in two relativistic quantum systems in a spacetime with a space-like dislocation. We assume that the topological defect has an internal magnetic flux. Then, we analyse the interaction of a charged particle with a uniform magnetic field in this topological defect spacetime, and thus, we extend this analysis to the confinement to a hard-wall potential and a linear scalar potential. Later, the interaction of the Klein-Gordon oscillator with a uniform magnetic field is analysed. We first focus on the effects of torsion that stem from the spacetime with a space-like dislocation and the geometric quantum phase. Then, we analyse the effects of torsion and the geometric quantum phase under the presence of a hard-wall potential and a linear scalar potential.