English

Representations and Properties of Generalized $A_r$ Statistics

Mathematical Physics 2009-11-11 v1 math.MP

Abstract

A generalization of ArA_r statistics is proposed and developed. The generalized ArA_r quantum statistics is completely specified by a set of Jacobson generators satisfying a set of triple algebraic relations. Fock-Hilbert representations and Bargmann-Fock realizations are derived.

Keywords

Cite

@article{arxiv.math-ph/0606049,
  title  = {Representations and Properties of Generalized $A_r$ Statistics},
  author = {Mohammed Daoud},
  journal= {arXiv preprint arXiv:math-ph/0606049},
  year   = {2009}
}

Comments

12 pages, to appear in IJMPA (2006)

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