Construction of Simple $q$-Deformed Algebras by Statistics
High Energy Physics - Theory
2007-05-23 v1
Abstract
The simple algebras of a dressed operator, which is composed of a dressing and a residual operators, are averaged following a proper statistics of the dressing one. In the Bose-Einstein statistics, a (fermionic) Calogero-Vasiliev oscillator, -boson (fermion), and (fermionic) are obtained for each bosonic (fermionic) residual operator. In the Fermi-Dirac statistics, new similar algebras are derived for each residual operator. Constructions of dual -algebras, such as a dual Calogero-Vasiliev oscillator, a dual -boson and a , and prospects are discussed.
Keywords
Cite
@article{arxiv.hep-th/9402090,
title = {Construction of Simple $q$-Deformed Algebras by Statistics},
author = {S. U. Park},
journal= {arXiv preprint arXiv:hep-th/9402090},
year = {2007}
}
Comments
15pages, JUTP-94-1, hep-th/yymmnnn, LaTeX