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We employ the background field of a dyon in a MICZ-Kepler model to constrain the electron’s motion on a sphere. The quantum MICZ-Kepler model is the magnetized hydrogen atom. We show that the 4D Dirac oscillator representation of the charge-dyon systems is a natural frame for the Haldane’s spherical geometry for the Landau problem. The Majorana reduction of the 4D Dirac spinor to 2D Weyl spinor projects the Landau levels on the spheres onto the Landau levels in the tangent plane.

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Landau Levels for the Haldane’s Spheres

  • 会议论文

  • 发表日期：

    2025年

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  • Philippe Nounahon,
  • Todor Popov

摘要

We employ the background field of a dyon in a MICZ-Kepler model to constrain the electron’s motion on a sphere. The quantum MICZ-Kepler model is the magnetized hydrogen atom. We show that the 4D Dirac oscillator representation of the charge-dyon systems is a natural frame for the Haldane’s spherical geometry for the Landau problem. The Majorana reduction of the 4D Dirac spinor to 2D Weyl spinor projects the Landau levels on the spheres onto the Landau levels in the tangent plane.