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Structure of the three-dimensional quantum euclidean space

  • Theoretical physics
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The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space \(\mathbb{R}^3_q\) 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.

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Authors and Affiliations

  1. Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany , , , , , , DE

    B.L. Cerchiai, S. Schraml & J. Wess

  2. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany , , , , , , DE

    J. Madore

Authors
  1. B.L. Cerchiai
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  2. J. Madore
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  3. S. Schraml
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  4. J. Wess
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Received: 13 April 2000 / Published online: 18 May 2000

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Cerchiai, B., Madore, J., Schraml, S. et al. Structure of the three-dimensional quantum euclidean space. Eur. Phys. J. C 16, 169–180 (2000). https://doi.org/10.1007/s100520050013

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  • DOI: https://doi.org/10.1007/s100520050013

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