On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations
High Energy Physics - Theory
2019-08-17 v1
Abstract
The deformed algebra , depending upon a Yang-Baxter R- matrix, is considered. The conditions under which the algebra is associative are discussed for a general number of oscillators. Four types of solutions satisfying these conditions are constructed and two of them can be represented by generalized Jordan-Wigner transformations.Our analysis is in some sense an extension of the boson realization of fermions from single-mode to multimode oscillators.
Keywords
Cite
@article{arxiv.hep-th/9409163,
title = {On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations},
author = {S. Meljanac and M. Milekovic and A. Perica},
journal= {arXiv preprint arXiv:hep-th/9409163},
year = {2019}
}
Comments
10+ii pages,preprint RBI-TH-10/93,Latex,(to appear in Europhys.Lett.)