Published March 1995 | Version v1
Journal article Metadata-only

Generalized q-exponentials related to orthogonal quantum groups and Fourier transformations of noncommutative spaces

Creators

  • 1. Department of Physics and Theoretical Physics Group, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)

Description

Essential prerequisites for the study of q-deformed physics are particle states in position and momentum representation. In order to relate x and p space by Fourier transformations the appropriate q-exponential series related to orthogonal quantum symmetries is constructed. It turns out to be a new q-special function giving rise to q-plane wave solutions that transform with a noncommutative phase under translations

Additional details

Publishing Information

Journal Title
Journal of Mathematical Physics (New York)
Journal Volume
36
Journal Issue
3
Journal Page Range
p. 1531-1546.
ISSN
0022-2488
CODEN
JMAPAQ

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
26045799
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EIGENVALUES; FOURIER TRANSFORMATION; HILBERT SPACE; LIE GROUPS; LINEAR MOMENTUM OPERATORS; POSITION OPERATORS; QUANTIZATION; QUANTUM OPERATORS; SYMMETRY GROUPS
Descriptors DEC
BANACH SPACE; INTEGRAL TRANSFORMATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; SPACE; TRANSFORMATIONS