DOI: 10.1140/epjc/s2003-01397-7
q-Integration on quantum spaces
H. WachterSektion Physik, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 München, Germany Hartmut.Wachter@physik.uni-muenchen.de
(Received: 9 September 2003 / / Published online: 26 November 2003)
Abstract
In this article we present explicit formulae for
q-integration on quantum
spaces which could be of particular importance in physics, i.e.,
q-deformed
Minkowski space and
q-deformed Euclidean space in three or four dimensions.
Furthermore, our formulae can be regarded as a generalization of Jackson's
q-integral to three or four dimensions and provide a new possibility for an
integration over the whole space being invariant under translations and
rotations.
© Società Italiana di Fisica, Springer-Verlag 2004
