ON REPRESENTATIONS OF LIE-ALGEBRAS FOR QUANTIZED HAMILTONIANS

Authors
HANNA LAM KHALIFA ME HASSAN SS
Citation
Lam. Hanna et al., ON REPRESENTATIONS OF LIE-ALGEBRAS FOR QUANTIZED HAMILTONIANS, Linear algebra and its applications, 266, 1997, pp. 69-79
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
266
Year of publication
1997
Pages
69 - 79
Database
ISI
SICI code
0024-3795(1997)266:<69:OROLFQ>2.0.ZU;2-U
Abstract
We prove that the Lie algebra L-s:[K+, K-] = sK(0), [K-0, K+/-] = +/-K +/-, where s is a real number, K-0 is a Hermitian diagonal operator, a nd K+ = K--(dagger) has nontrivial matrix representations if and only if s greater than or equal to 0. (C) 1997 Elsevier Science Inc.