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On the confinement of a quantum particle to a two-dimensional ring in systems described by the Dirac equation

Quantum Physics 2011-11-01 v1 High Energy Physics - Theory

Abstract

In this contribution, we propose a new model for studying the confinement of a spin-half particle to a two-dimensional quantum ring in systems described by the Dirac equation by introducing a new minimal coupling into the Dirac equation. We show that the introduction of this new minimal coupling into the Dirac equation yields a generalization of the two-dimensional model for a quantum ring proposed by Tan and Inkson [W.-C. Tan and J. C. Inkson, Semicond. Sci. Technol. {\bf11}, 1635 (1996)] for relativistic spin-half quantum particles.

Keywords

Cite

@article{arxiv.1110.6458,
  title  = {On the confinement of a quantum particle to a two-dimensional ring in systems described by the Dirac equation},
  author = {K. Bakke and Claudio Furtado},
  journal= {arXiv preprint arXiv:1110.6458},
  year   = {2011}
}

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10 pages