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Spinor vortices in nonrelativistic Chern-Simons theory

1995/03/09 by Christian Duval, C. Duval, P. A. Horváthy +1
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Chern–Simons theory #Dirac (video compression format) #Dirac equation #Field (mathematics) #Gauge (firearms) #Gauge theory #Magnetic field #Mathematical physics #Mathematics #Mechanical and Optical Resonators #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Spinor #Spinor field #Vortex #hep-th

paper · pdf · doi:10.1103/physrevd.52.4700

published as Phys.Rev.D52:4700-4703,1995 · 7 pages, Plain Tex

arxiv created 1995/03/09 · openalex publication_date 1995/10/15 · arxiv updated 2011/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The nonrelativistic ``Dirac'' equation of L'evy-Leblond is used to describe a spin-1/2 particle interacting with a Chern-Simons gauge field. Static, purely magnetic, self-dual spinor vortices are constructed. The solution can be ``exported'' to a uniform magnetic background field.

Citations