Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces
High Energy Physics - Theory
2009-10-28 v3
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9409132,
title = {Generalized Q-Exponentials Related to Orthogonal Quantum Groups and Fourier Transformations of Noncommutative Spaces},
author = {Arne Schirrmacher},
journal= {arXiv preprint arXiv:hep-th/9409132},
year = {2009}
}
Comments
21 pages, LBL-36151; UCB-PTH-94/24 (no changes, mailed differently, hopefully without mailer corruptions)