Published February 1993
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Hilbert space representation of the SOq(N)-covariant Heisenberg algebra
Description
The differential calculus on SOq(N)-covariant quantum planes is rewritten in polar co-ordinates. Thus a Hilbert space formulation of q-deformed quantum mechanics can be developed particularly suitable for spherically symmetric potentials. The simplest case of a free particle is solved showing a discrete energy spectrum. (orig.)
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Additional details
Publishing Information
- Imprint Title
- Proceedings of the XXVI international symposium Ahrenshoop on the theory of elementary particles
- Imprint Pagination
- 343 p.
- Journal Page Range
- p. 148-155.
- Report number
- DESY--93-013
Conference
- Title
- 26. international symposium Ahrenshoop on the theory of elementary particles.
- Dates
- 09-13 Sep 1992.
- Place
- Wendisch Rietz (Germany).
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 25041316
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; ANALYTICAL SOLUTION; CENTRAL POTENTIAL; COMMUTATION RELATIONS; DEFORMATION; DIFFERENTIAL CALCULUS; EIGENVALUES; ENERGY SPECTRA; HAMILTONIANS; HERMITIAN OPERATORS; HILBERT SPACE; INTEGRALS; IRREDUCIBLE REPRESENTATIONS; LAPLACIAN; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SO GROUPS; WAVE FUNCTIONS; WAVE PROPAGATION
- Descriptors DEC
- BANACH SPACE; DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; POTENTIALS; QUANTUM OPERATORS; SPACE; SPECTRA; SYMMETRY GROUPS; WAVE EQUATIONS