On coherent states for the simplest quantum groups
Abstract
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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- January 1991
- DOI:
- 10.1007/BF00414635
- Bibcode:
- 1991LMaPh..21...51J
- Keywords:
-
- 81D30;
- 81D07;
- 17B15;
- 53C55;
- 81C35