%0 Journal Article
%T Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces
%A Arne Schirrmacher
%J Physics
%D 1994
%I arXiv
%R 10.1063/1.531136
%X An essential prerequisite for the study of q-deformed physics are particle states in position and momentum representation. In order to relate x- and p-space by Fourier transformations the appropriate q-exponential series related to orthogonal quantum symmetries is constructed. It turns out to be a new q-special function giving rise to q-plane wave solutions that transform with a noncommuting phase under translations.
%U http://arxiv.org/abs/hep-th/9409132v3