Published August 30, 2002
| Version v1
Journal article
Characterization of SU(1, 1) coherent states in terms of affine group wavelets
- 1. Laboratoire de Physique Theorique de la matiere condensee, Universite Paris VII, Paris (France)
Description
The Perelomov coherent states of SU(1, 1) are labelled by elements of the quotient of SU(1, 1) by the compact subgroup. Taking advantage of the fact that this quotient is isomorphic to the affine group of the real line, we are able to parametrize the coherent states by elements of that group or equivalently by points in the half-plane. Such a formulation permits to find new properties of the SU(1, 1) coherent states and to relate them to affine wavelets. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
- DOI
- 10.1088/0305-4470/35/34/308;
- PII
- S0305-4470(02)37700-X;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 34
- Journal Page Range
- p. 7347-7357
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33043961
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AFFINITY; ANNIHILATION OPERATORS; EIGENSTATES; GROUP THEORY; SU GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SYMMETRY GROUPS