Coadjoint Orbits of the Poincar\'e Group in 2+1 Dimensions and their Coherent States

Abstract

We study the structure of the coadjoint orbits of the 2+1 Poincar\'e group, using a matricial representation of the group. We also obtain the orbits connected to irreducible representations of the group. Finally we obtain coherent states for the hyperboloidal and conical orbits.

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