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Structure of the Three-dimensional Quantum Euclidean Space

B. L. Cerchiai·J. Madore·S. Schraml·J. Wess
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Abstract

As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space $R^3_q$ 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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B. L. Cerchiai, J. Madore, S. Schraml, J. Wess. 2000-04-03. Structure of the Three-dimensional Quantum Euclidean Space. https://doi.org/10.1007/s100520050013

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