q-Integration on quantum spacesH. Wachter
Sektion Physik, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 München, Germany Hartmut.Wachter@physik.uni-muenchen.de
(Received: 9 September 2003 / / Published online: 26 November 2003)
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