On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations

Details On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations

1994-09-27

arxiv.org/abs/hep-th/9409163v1

Physics

High Energy Physics

High Energy Physics - Theory

10+ii pages,preprint RBI-TH-10/93,Latex,(to appear in Europhys.Lett.)

Scientific paper

10.1209/0295-5075/28/2/001

The deformed algebra $\cal{A(R)}$, 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.

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