On coherent states for the simplest quantum groups

✍ Scribed by Branislav Jurčo

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 292 KB
• Volume: 21
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00414635

✦ Synopsis

The coherent states for the simplest quantum groups (q-Heisenberg-Weyl, SUq(2) and the discrete series of representations of SUq(I, 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.