Spinors in non-relativistic Chern{endash}Simons electrodynamics
- Departement de Physique, Universite de la Mediterranee and Centre de Physique Theorique, CNRS-Luminy, Case 907, F-13288 Marseille, Cedex 09 (France)
- Laboratoire de Mathematiques et Applications, Universite de Tours, Parc de Grandmont, F-37200 Tours (France)
- Institute for Theoretical Physics, Eoetvoes University, H-1088 Budapest, Puskin u. 5-7 (Hungary)
It is shown that the non-relativistic {open_quote}{open_quote}Dirac{close_quote}{close_quote} equation of L{acute e}vy-Leblond, we used recently to describe a spin 1/2 field interacting non-relativistically with a Chern{endash}Simons gauge field, can be obtained by lightlike reduction from 3+1 dimensions. This allows us to prove that the system is Schr{umlt o}dinger symmetric. A spinor representation of the Schr{umlt o}dinger group is presented. Static, self-dual solutions, describing spinor vortices are given and shown to be the nonrelativistic limits of the fermionic vortices found by Cho {ital et} {ital al}. The construction is extended to external harmonic and uniform magnetic fields. Copyright {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 383715
- Journal Information:
- Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 1 Vol. 249; ISSN APNYA6; ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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