Published July 7, 2009 | Version v1
Journal article

Noncommutative Structure of Quantum Group Coherent States

  • 1. Department of Mathematics and Information Sciences, Osaka Prefecture University, Nakamozu Campus, Sakai, Osaka 599-8531 (Japan)
  • 2. Department of Theoretical Physics, University of Madras, Guindy Campus, Chennai 600 025 (India)

Description

The generalized coherent states (GCS) for two Lie groups are extend to quantum groups. The simplest examples for SUq(2) and Hq(1) are studied in some detail. It is shown that they enjoy analogous properties to classical counterparts such as resolution of unity. Especially, the SUq(2) GCS provide a natural description of q-sphere in complex coordinates.

Additional details

Identifiers

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1150
Journal Issue
1
Journal Page Range
p. 122-125
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
3. international meeting on frontiers in physics
Dates
12-16 Jan 2009
Place
Kuala Lumpur (Malaysia)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41075145
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; ANNIHILATION OPERATORS; COMMUTATION RELATIONS; COORDINATES; EIGENSTATES; MATRICES; QUANTIZATION; QUANTUM GROUPS; SU-2 GROUPS
Descriptors DEC
LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS

Optional Information

Notes
(c) 2009 American Institute of Physics