Operator representations on quantum spaces |
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Authors: | Email author" target="_blank">C?BauerEmail author H?Wachter |
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Institution: | (1) Sektion Physik, Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 München, Germany |
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Abstract: | 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.Received: 26 September 2002, Revised: 18 June 2003, Published online: 2 October 2003 |
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