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Anyons, group theory and planar physics

J. Negro, M. A. del Olmo, J. Tosiek

math-pharXiv:math-ph/0512007

Abstract

Relativistic and nonrelativistic anyons are described in a unified formalism by means of the coadjoint orbits of the symmetry groups in the free case as well as when there is an interaction with a constant electromagnetic field. To deal with interactions we introduce the extended Poincaré and Galilei Maxwell groups.

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