Structure of the Three-dimensional Quantum Euclidean Space
Quantum Algebra
2011-09-13 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space together with its symmetry structure in great detail. The algebraic structure and the representation theory are clarified and discrete spectra for the coordinates are found. The q-deformed Legendre functions play a special role. A completeness relation is derived for these functions.
Keywords
Cite
@article{arxiv.math/0004011,
title = {Structure of the Three-dimensional Quantum Euclidean Space},
author = {B. L. Cerchiai and J. Madore and S. Schraml and J. Wess},
journal= {arXiv preprint arXiv:math/0004011},
year = {2011}
}
Comments
22 pages, latex