Invariance quantum group of the fermionic oscillatorM. 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 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