Eur. Phys. J. C 20, 389-391
DOI: 10.1007/s100520100658

Multi-parameter deformations and multi-particle representations of the bosonic oscillator

M. Arik and A.S. Arikan

Department of Physics, Bogaziçi University, Bebek, Istanbul, Turkey

(Received: 16 February 2000 / Published online: 11 May 2001 -© Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
In this paper, we consider a multi-parameter deformation of the bosonic oscillator algebra and determine the consistency conditions on the parameters. For a d-dimensional oscillator we find 2d parameters. Finally, we present the Fock representation of this oscillator.

© Società Italiana di Fisica, Springer-Verlag 2001