On a Generalized Boson Realization of Fermions

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.

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On a Generalized Boson Realization of Fermions

Abstract: We propose a generalized method of constructing fermions in terms of a single-mode boson. This is a generalization of the method proposed by T. Ruan, S. Jing and A. Wang (Europhys. Lett., 23 (1993) 317).

Cited by 3 publications

References 4 publications

Uniqueness of Boson Realization of Fermions

Uniqueness of Boson Realization of Fermions

Reply to the Criticism by B. Bagchi Against the “Generalized Boson Realization of Fermions”

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

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