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The k-Fermions as Objects Interpolating Between Fermions and Bosons

In: Symmetries in Science X

Author

Listed:
  • M. Daoud

    (Université Mohammed V, Laboratoire de Physique Théorique)

  • Y. Hassouni

    (Université Mohammed V, Laboratoire de Physique Théorique)

  • M. Kibler

    (IN2P3-CNRS et Université Claude Bernard, Institut de Physique Nucléaire de Lyon)

Abstract

In the recent years, the theory of deformations, mainly in the spirit of quantum groups and quantum algebras, has been the subject of considerable interest in statistical physics. More precisely, deformed oscillator algebras have proved to be useful in parasiatistics(connected to irreducible representations, of dimensions greater than 1, of the symmetric group), in anyonic statistics(connected to the braid group) that concerns only particles in (one or) two dimensions, and in q-deformed statisticsthat may concern particles in arbitrary dimensions. In particular, the q-deformed statistics deal with: (i) q-bosons (which are bosons obeying a q-deformed Bose-Einstein distribution), (ii) q-fermions (which are fermions obeying a q-deformed Fermi-Dirac distribution), and (iii) quons (with qsuch that q k = 1, where k∈ ℕ \ {0,1}) which are objects, refered to as k-fermions in this work, interpolating between fermions (corresponding to k= 2) and bosons (corresponding to k→ ∞).

Suggested Citation

  • M. Daoud & Y. Hassouni & M. Kibler, 1998. "The k-Fermions as Objects Interpolating Between Fermions and Bosons," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 63-77, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_4
    DOI: 10.1007/978-1-4899-1537-5_4
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