Superintegrable quantum u(3) systems and higher rank factorizations
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Matematica Aplicada, Universidad de Valladolid, E-47011 Valladolid (Spain)
A class of two-dimensional superintegrable systems on a constant curvature surface is considered as the natural generalization of some well known one-dimensional factorized systems. By using standard methods to find the shape-invariant intertwining operators we arrive at a so(6) dynamical algebra and its Hamiltonian hierarchies. We pay attention to those associated to certain unitary irreducible representations that can be displayed by means of three-dimensional polyhedral lattices. We also discuss the role of superpotentials in this new context.
- OSTI ID:
- 20768767
- Journal Information:
- Journal of Mathematical Physics, Vol. 47, Issue 4; Other Information: DOI: 10.1063/1.2191360; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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