Generalized [ital q]-exponentials related to orthogonal quantum groups and Fourier transformations of noncommutative spaces
Journal Article
·
· Journal of Mathematical Physics (New York); (United States)
- Department of Physics and Theoretical Physics Group, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)
Essential prerequisites for the study of [ital q]-deformed physics are particle states in position and momentum representation. In order to relate [ital x] and [ital p] space by Fourier transformations the appropriate [ital q]-exponential series related to orthogonal quantum symmetries is constructed. It turns out to be a new [ital q]-special function giving rise to [ital q]-plane wave solutions that transform with a noncommutative phase under translations.
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 6547774
- Journal Information:
- Journal of Mathematical Physics (New York); (United States), Journal Name: Journal of Mathematical Physics (New York); (United States) Vol. 36:3; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100 -- Classical & Quantum Mechanics-- (1992-)
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
EIGENVALUES
FOURIER TRANSFORMATION
HILBERT SPACE
INTEGRAL TRANSFORMATIONS
LIE GROUPS
LINEAR MOMENTUM OPERATORS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
POSITION OPERATORS
QUANTIZATION
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS
TRANSFORMATIONS
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
EIGENVALUES
FOURIER TRANSFORMATION
HILBERT SPACE
INTEGRAL TRANSFORMATIONS
LIE GROUPS
LINEAR MOMENTUM OPERATORS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
POSITION OPERATORS
QUANTIZATION
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS
TRANSFORMATIONS