1995/07/07 by F. De Jonghe, Frank De Jonghe, A. J. Macfarlane +5 · 2 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1016/0370-2693(95)01063-v
published as Phys.Lett. B359 (1995) 114-117 · Latex twice, 1+5 pages
arxiv created 1995/07/07 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
The non-relativistic dynamics of a spin-1/2 particle in a monopole field possesses a rich supersymmetry structure. One supersymmetry, uncovered by d'Hoker and Vinet, is of the standard type: it squares to the Hamiltonian. In this paper we show the presence of another supersymmetry which squares to the Casimir invariant of the full rotation group. The geometrical origin of this supersymmetry is traced, and its relationship with the constrained dynamics of a spinning particle on a sphere centered at the monopole is described.