Journal of Nonlinear Mathematical Physics

Volume 11, Issue Supplement 1, October 2004, Pages 85 - 91

Statistical mechanics of a Class of Anyonic Systems. The Rigorous Approach

Authors
Roman Gielerak, Robert Ralowski
Corresponding Author
Roman Gielerak
Available Online 1 October 2004.
DOI
https://doi.org/10.2991/jnmp.2004.11.s1.11How to use a DOI?
Abstract
A class of involutive Wick algebras (called anyonic-type Wick algebras) is selected and some its elementary properties are described. In particular, the Fock representtions of the selected anyonic-type commutation relations are described. For the class of so-called r-yonic systems the question of the existence of the limiting thermodnamic functions is being addressed. The corresponding r-yonic partition functions are described in terms of interacting bosonic systems. Methods originally developed for a purely bosonic system are being adopted and successfully applied to this class of anyonic systems under considerations.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - Supplement 1
Pages
85 - 91
Publication Date
2004/10
ISBN
91-974824-2-0
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2004.11.s1.11How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Roman Gielerak
AU  - Robert Ralowski
PY  - 2004
DA  - 2004/10
TI  - Statistical mechanics of a Class of Anyonic Systems. The Rigorous Approach
JO  - Journal of Nonlinear Mathematical Physics
SP  - 85
EP  - 91
VL  - 11
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.s1.11
DO  - https://doi.org/10.2991/jnmp.2004.11.s1.11
ID  - Gielerak2004
ER  -