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- W2964282009 abstract "The generalized deformed oscillator schemes introduced as unified frameworks of various deformed oscillators are proved to be equivalent, their unified representation leading to a correspondence between the deformed oscillator and the N=2 supersymmetric quantum mechanics (SUSY-QM) scheme. In addition, 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 W0) 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 W0 and W (2) 3 ). The fact that the Holt potential is characterized by the W (2) 3 symmetry is obtained as a by-product." @default.
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- W2964282009 date "1995-01-01" @default.
- W2964282009 modified "2023-09-23" @default.
- W2964282009 title "Generalized deformed oscillators and algebras" @default.
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