Many QParticles from One: A New Approach to $*$Hopf Algebras?
Abstract
We propose a nonstandard approach to solving the apparent incompatibility between the coalgebra structure of some inhomogeneous quantum groups and their natural complex conjugation. In this work we sketch the general idea and develop the method in detail on a toymodel; the latter is a qdeformation of the Hopf algebra of 1dim translations + dilatations. We show how to get all Hilbert space representations of the latter from tensor products of the fundamental ones; physically, this corresponds to constructing composite systems of many free distinct qparticles in terms of the basic oneparticle ones. The spectrum of the total momentum turns out to be the same as that of a oneparticle momentum, i.e. of the form $\{\mu q^n\}_{n\in\zn}$.
 Publication:

arXiv eprints
 Pub Date:
 November 1994
 arXiv:
 arXiv:hepth/9411006
 Bibcode:
 1994hep.th...11006F
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 16 pp., latex file