Quantum algebraic structures compatible with the harmonic oscillator Newton equation

Authors
Arik, M Atakishiyev, NM Wolf, KB
Citation
M. Arik et al., Quantum algebraic structures compatible with the harmonic oscillator Newton equation, J PHYS A, 32(33), 1999, pp. L371-L376
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
33
Year of publication
1999
Pages
L371 - L376
Database
ISI
SICI code
0305-4470(19990820)32:33<L371:QASCWT>2.0.ZU;2-6
Abstract
We study some of the algebraic structures that are compatible with the quan tization of the harmonic oscillator through its Newton equation. Examples o f such structures are given; they include undeformed and q-deformed oscilla tors, as well as the SU(2) and the deformed SUq(2) Lie algebras, which appe ar in a variety of physical models.