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Invariance quantum group of the fermionic oscillator

  • Theoretical Physics
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Abstract.

The fermionic oscillator defined by the algebraic relations cc *+c * c = 1 and c 2 = 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.

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Authors and Affiliations

  1. Department of Physics, Bogaziçi University, Bebek, Istanbul, Turkey , , , , , , TR

    M. Arik

  2. Department of Physics, Istanbul University, Vezneciler, Istanbul, Turkey , , , , , , TR

    S. Gün

  3. Feza Gürsey Institute, P.O. Box 6, 81220, Çengelköy, Istanbul, Turkey , , , , , , TR

    A. Yildiz

Authors
  1. M. Arik
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  2. S. Gün
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  3. A. Yildiz
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Additional information

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

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Arik, M., Gün, S. & Yildiz, A. Invariance quantum group of the fermionic oscillator. Eur. Phys. J. C 27, 453–455 (2003). https://doi.org/10.1140/epjc/s2002-01097-x

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  • DOI: https://doi.org/10.1140/epjc/s2002-01097-x

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