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

arXiv
Authors: K. Bakke, Claudio Furtado

Year

2011

Paper ID

28988

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

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.

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  • 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...

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