Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric gl(2) quantizations

Authors
Parashar, P Ballesteros, A Herranz, FJ
Citation
P. Parashar et al., Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric gl(2) quantizations, CZEC J PHYS, 48(11), 1998, pp. 1465-1470
Citations number
14
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
48
Issue
11
Year of publication
1998
Pages
1465 - 1470
Database
ISI
SICI code
0011-4626(199811)48:11<1465:QHOAAN>2.0.ZU;2-X
Abstract
Multiparametric quantum gl(2) algebras are presented according to a classif ication based on their corresponding Lie bialgebra structures. From them, t he non-relativistic limit leading to quantum harmonic oscillator algebras i s implemented in the form of generalized Lie bialgebra contractions.