dorsal/arxiv
View SchemaUnification of parastatistics defined as triple operator algebras
| Authors | S. Meljanac, M. Milekovic, M. Stojic |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712017 |
| URL | https://arxiv.org/abs/q-alg/9712017 |
| DOI | 10.1142/S0217732398001078 |
Abstract
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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"abstract": "We unify parastatistics, defined as triple operator algebras represented on\nFock space, in a simple way using the transition number operators. We express\nthem as a normal ordered expansion of creation and annihilation operators. We\ndiscuss several examples of parastatistics, particularly Okubo\u0027s and Palev\u0027s\nparastatistics connected to many-body Wigner quantum systems. We relate them to\nthe notion of extended Haldane statistics.",
"arxiv_id": "q-alg/9712017",
"authors": [
"S. Meljanac",
"M. Milekovic",
"M. Stojic"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1142/S0217732398001078",
"title": "Unification of parastatistics defined as triple operator algebras",
"url": "https://arxiv.org/abs/q-alg/9712017"
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