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q-algDec 22, 1995
18
citations (OpenAlex)
authors
  • Wladyslaw Marcinek
institutions
  • University of Wrocław
arXiv abstractPDF
paper

On Commutation Relations for Quons

arXiv:q-alg/9512015 · doi:10.1016/S0034-4877(98)80173-0

Abstract

The model of generalized quons is described in a purely algebraic way. Commutation relations and corresponding consistency conditions for our generalized quons system are studied in terms of quantum Weyl algebras. Fock space representation and corresponding scalar product is also given.

17 pages in Latex, (corrected missprints in two formulas)

References in corpus (7)

  • Braided Momentum Structure of the q-Poincare Group
  • Quantum and Braided Linear Algebra
  • Free Braided Differential Calculus, Braided Binomial Theorem and the Braided Exponential Map
  • Generalized Quon Statistics
  • Anyonic FRT construction
  • On Deformations of Commutation Relation Algebras
  • Zamolodchikov-Faddeev algebra in 2-component anyons

Cited by in corpus (8)

  • On C*-algebras generated by pairs of q-commuting isometries
  • Fermionic long range correlations realized by particles obeying deformed statistics
  • Deformed exterior algebra, Quons and related Coherent States
  • Particles and Quantum Symmetries
  • Unbounded representations of q-deformation of Cuntz algebra
  • Generalized exclusion and Hopf algebras
  • On structure of homogenenous Wick ideals in Wick ∗-algebras with braided coefficients
  • CCR and CAR algebras are connected via a path of Cuntz-Toeplitz algebras
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