Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-03
Commun.Theor.Phys. 41 (2004) 175-178
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, LaTex
Scientific paper
The quantum Euclidean space R_{q}^{N} is a kind of noncommutative space which is obtained from ordinary Euclidean space R^{N} by deformation with parameter q. When N is odd, the structure of this space is similar to R_{q}^{3}. Motivated by realization of R_{q}^{3} by differential operators in R^{3}, we give such realization for R_{q}^{5} and R_{q}^{7} cases and generalize our results to R_{q}^{N} (N odd) in this paper, that is, we show that the algebra of R_{q}^{N} can be realized by differential operators acting on C^{infinite} functions on undeformed space R^{N}.
Jing Sicong
Li Yun
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