Unification of parastatistics defined as triple operator algebras

Details Unification of parastatistics defined as triple operator algebras Unification of parastatistics defined as triple operator algebras

1997-12-04

arxiv.org/abs/q-alg/9712017v2

Mathematics

Quantum Algebra

18 pages, no figures, LaTex, some references added, to appear in Int.J.Mod.Phys.A

Scientific paper

10.1142/S0217732398001078

We unify parastatistics, defined as triple operator algebras represented on Fock space, in a simple way using the transition number operators. We express them as a normal ordered expansion of creation and annihilation operators. We discuss several examples of parastatistics, particularly Okubo's and Palev's parastatistics connected to many-body Wigner quantum systems. We relate them to the notion of extended Haldane statistics.

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