Operator representations on quantum spaces
Sektion Physik, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333, München, Germany
* e-mail: Claudia.Bauer@physik.uni-muenchen.de
In this article we present explicit formulae for q-differentiation 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. The calculations are based on the covariant differential calculus of these quantum spaces. Furthermore, our formulae can be regarded as a generalization of Jackson’s q-derivative to three and four dimensions.
© Springer-Verlag, 2003