ON PARASTATISTICS DEFINED AS TRIPLE OPERATOR ALGEBRAS-Reference-Cited by-同舟云学术

ON PARASTATISTICS DEFINED AS TRIPLE OPERATOR ALGEBRAS

Published:1998-04-30 Issue:13 Volume:13 Page:995-1005
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

MELJANAC STJEPAN¹,STOJIĆ MARKO¹,MILEKOVIĆ MARIJAN²

Affiliation:

1. Rudjer Bošković Institute, Bijenička c.54, 10001 Zagreb, Croatia

2. Prirodoslovno-Matematički Fakultet, Zavod za teorijsku fiziku, Bijenička c.32, 10000 Zagreb, Croatia

Abstract

Parastatistics, defined as triple operator algebras represented on Fock space, are unified in a simple way using the transition number operators. They are expressed 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 and relate them to the notion of extended Haldane statistics.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732398001078

Reference14 articles.

1. Parastatistics as Lie‐supertriple systems

2. Wigner quantum oscillators

3. A UNIFIED VIEW OF MULTIMODE ALGEBRAS WITH FOCK-LIKE REPRESENTATIONS

4. Permutation invariant statistics, duality and simple interpolations

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