Operator Representations on Quantum Spaces
数学物理
2009-11-07 v4 高能物理 - 理论
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0201023,
title = {Operator Representations on Quantum Spaces},
author = {Claudia Bauer and Hartmut Wachter},
journal= {arXiv preprint arXiv:math-ph/0201023},
year = {2009}
}
备注
34 pages, Latex, major modifications to improve clarity, corrected typos