1995/10/17 by C. Duval, C Duval, P. A. Horváthy +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.1006/aphy.1996.0071
published as Annals Phys. 249 (1996) 265-297 · Plain TEX, 43 pages
arxiv created 1995/10/17 · openalex publication_date 1996/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the non-relativistic `Dirac' equation of Lévy-Leblond, we used recently to describe a spin 1/2 field interacting non-relativistically with a Chern-Simons gauge field, can be obtained by lightlike reduction from 3+1 dimensions. This allows us to prove that the system is Schrödinger symmetric. A spinor representation of the Schrödinger group is presented. Static, self-dual solutions, describing spinor vortices are given and shown to be the non-relativistic limits of the fermionic vortices found by Cho et al. The construction is extended to external harmonic and uniform magnetic fields.