Phys. Rev. E 55, 291–296 (1997)Anyonic behavior of quantum group gasesReceived 19 August 1996; published in the issue dated January 1997 We first introduce and discuss the formalism of SUq (N) bosons and fermions and consider the simplest Hamiltonian involving these operators. We then calculate the grand partition function for these models and study the high temperature (low density) case of the corresponding gases for N=2. We show that quantum group gases exhibit anyonic behavior in D=2 and 3 spatial dimensions. In particular, for a SUq (2) boson gas at D=2 the parameter q interpolates within a wider range of attractive and repulsive systems than the anyon statistical parameter. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.55.291
DOI:
10.1103/PhysRevE.55.291
PACS:
05.30.-d
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