The geometry of a q-deformed phase space

Authors
Cerchiai, BL Hinterding, R Madore, J Wess, J
Citation
Bl. Cerchiai et al., The geometry of a q-deformed phase space, EUR PHY J C, 8(3), 1999, pp. 533-546
Citations number
29
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
8
Issue
3
Year of publication
1999
Pages
533 - 546
Database
ISI
SICI code
1434-6044(199905)8:3<533:TGOAQP>2.0.ZU;2-8
Abstract
The geometry of the q-deformed line is studied. A real differential calculu s is introduced and the associated algebra of forms represented on a Hilber t space. It is found that there is a natural metric with an associated line ar connection which is of zero curvature. The metric, which is formally def ined in terms of differential forms, is in this simple case identifiable as an observable.