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

S. Meljanac·M. Milekovic·A. Perica
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Abstract

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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S. Meljanac, M. Milekovic, A. Perica. 1994-09-27. On the R-Matrix Formulation of Deformed Algebras and Generalized Jordan-Wigner Transformations. https://doi.org/10.1209/0295-5075%2F28%2F2%2F001

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