Spinors in non-relativistic Chern-Simons electrodynamics

C. Duval, P. A. Horváthy, L. Palla

Research output: Contribution to journalArticle

32 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)265-297
Number of pages33
JournalAnnals of Physics
Issue number1
Publication statusPublished - Jul 10 1996


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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