The k-Fermions as Objects Interpolating Between Fermions and Bosons

M. Daoud, Y. Hassouni and M. Kibler
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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

A chapter in Symmetries in Science X, 1998, pp 63-77 from Springer

Abstract: 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→ ∞).

Keywords: Coherent State; Hopf Algebra; Quantum Group; Annihilation Operator; Braid Group (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4899-1537-5_4

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