Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-21
Mod.Phys.Lett. A10 (1995) 2197-2212
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 17 pages
Scientific paper
10.1142/S0217732395002362
Several physical systems (two identical particles in two dimensions, isotropic oscillator and Kepler system in a 2-dim curved space) and mathematical structures (quadratic algebra QH(3), finite W algebra $\bar {\rm W}_0$) are shown to posses the structure of a generalized deformed su(2) algebra, the representation theory of which is known. Furthermore, the generalized deformed parafermionic oscillator is identified with the algebra of several physical systems (isotropic oscillator and Kepler system in 2-dim curved space, Fokas--Lagerstrom, Smorodinsky--Winternitz and Holt potentials) and mathematical constructions (generalized deformed su(2) algebra, finite W algebras $\bar {\rm W}_0$ and W$_3^{(2)}$). The fact that the Holt potential is characterized by the W$_3^{(2)}$ symmetry is obtained as a by-product.
Bonatsos Dennis
Daskaloyannis Costas
Kolokotronis P.
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