Dynamical algebra and Dirac quantum modes in the Taub-NUT background

2001/02/28 by Ion I. Cotǎescu, Ion I. Cotăescu, Mihai Visinescu
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Non-Hermitian Physics #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/18/17/304

published as Class.Quant.Grav. 18 (2001) 3383-3394 · 17 pages, latex, no figures. Version to appear in Class.Quantum Grav

arxiv created 2001/06/28 · openalex publication_date 2001/08/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The SO (4,1) gauge-invariant theory of the Dirac fermions in the external field of the Kaluza-Klein monopole is investigated. It is shown that the discrete quantum modes are governed by reducible representations of the o (4) dynamical algebra generated by the components of the angular momentum operator and those of the Runge-Lenz operator of the Dirac theory in the Taub-NUT background. The consequence is that there exist central and axial discrete modes whose spinors have no separated variables.

Citations

• New supersymmetry of the monopole
• Particle spin dynamics as the grassmann variant of classical mechanics
• THE DIRAC FIELD IN TAUB–NUT BACKGROUND
• SUSY in the sky