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

DOI

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Roman Gielerak
AU  - Robert Ralowski
PY  - 2004
DA  - 2004/10/01
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  - 10.2991/jnmp.2004.11.s1.11
ID  - Gielerak2004
ER  -