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

2011/10/28 by K. Bakke, C. Furtado, Bakke, K. +2
Mathematics · Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics #Topological Materials and Phenomena #hep-th #quant-ph

paper · pdf · doi:10.48550/arxiv.1110.6458

10 pages

arxiv created 2011/10/28 · openalex publication_date 2011/10/28 · arxiv updated 2011/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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