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Particles and Fields
Eur. Phys. J. C 27, 453-455 (2003)
DOI: 10.1140/epjc/s2002-01097-x

Invariance quantum group of the fermionic oscillator

M. Arik1, S. Gün2 and A. Yildiz3

1  Department of Physics, Bogaziçi University, Bebek, Istanbul, Turkey
2  Department of Physics, Istanbul University, Vezneciler, Istanbul, Turkey
3  Feza Gürsey Institute, P.O. Box 6, 81220, Çengelköy, Istanbul, Turkey

(Received: 15 July 2002 / Revised version: 14 October 2002 / Published online: 19 February 2003 )

The fermionic oscillator defined by the algebraic relations $cc^{\ast
}+c^{\ast}c=1$ and c2=0 admits the homogeneous group O(2) as its invariance group. We show that the structure of the inhomogeneus invariance group of this oscillator is a quantum group.

© Società Italiana di Fisica, Springer-Verlag 2003