Dynamical symmetries for superintegrable quantum systems
Journal Article
·
· Physics of Atomic Nuclei
- Universidad de Valladolid, Departmento de Fisica Teorica (Spain)
We study the dynamical symmetries of a class of two-dimensional superintegrable systems on a 2-sphere, obtained by a procedure based on the Marsden-Weinstein reduction, by considering its shape-invariant intertwining operators. These are obtained by generalizing the techniques of factorization of one-dimensional systems. We firstly obtain a pair of noncommuting Lie algebras su(2) that originate the algebra so(4). By considering three spherical coordinate systems, we get the algebra u(3) that can be enlarged by 'reflexions' to so(6). The bounded eigenstates of the Hamiltonian hierarchies are associated to the irreducible unitary representations of these dynamical algebras.
- OSTI ID:
- 21075922
- Journal Information:
- Physics of Atomic Nuclei, Vol. 70, Issue 3; Other Information: DOI: 10.1134/S1063778807030088; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
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