Structure of the three-dimensional quantum euclidean space |
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| Authors: | B.L. Cerchiai J. Madore S. Schraml J. Wess |
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| Affiliation: | Sektion Physik, Universit?t München, Theresienstrasse 37, 80333 München, Germany, DE
Max-Planck-Institut für Physik, F?hringer Ring 6, 80805 München, Germany, DE
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| 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. Received: 13 April 2000 / Published online: 18 May 2000 |
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