engleski

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

The deformed algebra 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.

R-matrix ; Jordan-Wigner transformation ; multimode oscillators

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