THE QUANTUM SUPERALGEBRA Bq(0|1) AND q-DEFORMED CREATION AND ANNIHILATION OPERATORS

Author:

CELEGHINI E.1,PALEV T.D.2,TARLINI M.3

Affiliation:

1. Dipartimento di Fisica, Università degli Studi di Firenze, INFN, Sezione di Firenze, L.go E. Fermi 2, 50125 Firenze, Italy

2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606, Japan

3. INFN, Sezione di Firenze, Dipartimento di Fisica, Università degli Studi di Firenze, Italy

Abstract

We show that the q-deformed creation and annihilation boson operators defined by Biedenharn and Mcfarlane generate the quantum superalgebra B(0|1), denoted also as ospq(1|2), and we give a generalization to q-deformed parabosons and fermions using the infinite dimensional representations of such Hopf algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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