Published May 14, 2004
| Version v1
Journal article
su(1, 1)-Barut-Girardello coherent states for Landau levels
Creators
- 1. Department of Theoretical Physics and Astrophysics, Physics Faculty, Tabriz University, PO Box 51664, Tabriz (Iran, Islamic Republic of)
- 2. Institute for Studies in Theoretical Physics and Mathematics (IPM), PO Box 19395-5531, Tehran (Iran, Islamic Republic of)
Description
It is shown that the Hilbert space corresponding to all the quantum states of the Landau problem can be split in two different ways: as infinite direct sums of the finite- and infinite-dimensional representation subspaces of the Lie algebras su(2) and su(1,1) with finite- and infinite-fold degeneracies, respectively. For each of the Hilbert representation subspaces of the Lie algebra su(1,1), we construct a suitable linear combination of its bases as the Barut-Girardello coherent states
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/5203/a4_19_007.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/5203/a4_19_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/19/007;
- PII
- S0305-4470(04)71470-5;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 19
- Journal Page Range
- p. 5203-5210
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35069077
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANNIHILATION OPERATORS; EIGENSTATES; HILBERT SPACE; SU-2 GROUPS
- Descriptors DEC
- BANACH SPACE; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM OPERATORS; SPACE; SU GROUPS; SYMMETRY GROUPS