183 research outputs found
Prolate over oblate dominance in deformed nuclei as a consequence of the SU(3) symmetry and the Pauli principle
We show that the dominance of prolate over oblate shapes in even-even
deformed nuclei can be derived from the SU(3) symmetry and the Pauli principle.Comment: 2 page
Generalized Deformed su(2) Algebras, Deformed Parafermionic Oscillators and Finite W Algebras
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 ) 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 and W). The fact that the Holt potential is
characterized by the W symmetry is obtained as a by-product.Comment: LaTeX, 17 page
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