ON THE R-MATRIX FORMULATION OF DEFORMED ALGEBRAS AND GENERALIZED JORDAN-WIGNER TRANSFORMATIONS

Authors
MELJANAC S MILEKOVIC M PERICA A
Citation
S. Meljanac et al., ON THE R-MATRIX FORMULATION OF DEFORMED ALGEBRAS AND GENERALIZED JORDAN-WIGNER TRANSFORMATIONS, Europhysics letters, 28(2), 1994, pp. 79-83
Citations number
28
Categorie Soggetti
Physics
Journal title
Europhysics letters → ACNP
ISSN journal
02955075
Volume
28
Issue
2
Year of publication
1994
Pages
79 - 83
Database
ISI
SICI code
0295-5075(1994)28:2<79:OTRFOD>2.0.ZU;2-L
Abstract
The deformed algebra, l(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 re presented by generalized Jordan-Wigner transformations. Our analysis i s in some sense an extension of the boson realization of fermions from single-mode to multimode oscillators.