Published January 1991
| Version v1
Journal article
On coherent states for the simplest quantum groups
Description
The coherent states for the simplest quantum groups (q-Heisenberg-Weyl, SUq(2) and the discrete series of representations of SUq(1, 1)) are introduced and their properties investigated. The corresponding analytic representations, path integrals, and q-deformation of Berezin's quantization on C, a sphere, and the Lobatchevsky plane are discussed. (orig.)
Additional details
Publishing Information
- Journal Title
- Letters in Mathematical Physics
- Journal Volume
- 21
- Journal Issue
- 1
- Series
- Lett. Math. Phys.
- Journal Page Range
- 51-58
- ISSN
- 0377-9017
- CODEN
- LMPHD
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 22039197
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANALYTIC FUNCTIONS; ANNIHILATION OPERATORS; CREATION OPERATORS; DEFORMATION; EIGENSTATES; FEYNMAN PATH INTEGRAL; HEISENBERG PICTURE; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; POLYNOMIALS; QUANTIZATION; QUANTUM MECHANICS; SU-2 GROUPS; U GROUPS; WEYL UNIFIED THEORY
- Descriptors DEC
- BANACH SPACE; FIELD THEORIES; FUNCTIONS; INTEGRALS; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE; SU GROUPS; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES