Published August 2000
| Version v1
Journal article
Structure of the three-dimensional quantum euclidean space
- 1. Max-Planck-Institut fuer Physik, Foehringer Ring 6, 80805 Muenchen (Germany)
- 2. Muenchen Univ. (Germany). Sektion Physik
- 3. Laboratoire de Physique Theorique Universite de Paris-Sud, Batiment 211, 91405 Orsay (France)
Description
As an example of a noncommutative space we discuss the quantum 3-dimensional Euclidean space R3q 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. (orig.)
Additional details
Publishing Information
- Journal Title
- European Physical Journal. C
- Journal Volume
- 16
- Journal Issue
- 1
- Journal Page Range
- p. 169-180
- ISSN
- 1434-6044
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 31048430
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; COORDINATES; EUCLIDEAN SPACE; LEGENDRE POLYNOMIALS; QUANTUM MECHANICS; SPACE-TIME; SYMMETRY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; POLYNOMIALS; RIEMANN SPACE; SPACE
Optional Information
- Notes
- 14 refs.