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Structure of the three-dimensional quantum euclidean space

  • B.L. Cerchiai
  • J. Madore
  • S. Schraml
  • J. Wess
Theoretical physics

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.

Keywords

Euclidean Space Special Role Representation Theory Algebraic Structure Discrete Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • B.L. Cerchiai
    • 1
  • J. Madore
    • 2
  • S. Schraml
    • 1
  • J. Wess
    • 1
  1. 1.Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany DE
  2. 2.Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany DE

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