Invariance quantum group of the fermionic oscillator

M. Arık; S. Gün; A. Yıldız

doi:doi:10.1140/epjc/s2002-01097-x

EPJ

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2018 Impact factor 4.843

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 )

Abstract
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.