2001/07/24 by Ion I. Cotăescu, Mihai Visinescu
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum Mechanics and Non-Hermitian Physics #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1063/1.1469669
published as J.Math.Phys. 43 (2002) 2978-2987 · 16 pages, latex, no figures
arxiv created 2001/07/24 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The algebra of conserved observables of 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 Dirac conserved operators have physical parts associated with Pauli operators that are also conserved in the sense of the Klein–Gordon theory. In this way one gets simpler methods of analyzing the properties of the conserved Dirac operators and their main algebraic structures including the representations of dynamical algebras governing the Dirac quantum modes.