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Title: Superintegrable Systems and Higher Rank Factorizations

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.2160972· OSTI ID:20787699
; ;  [1]
  1. Departamento de Fisica Teorica, Atomica y Optica, Facultad de Ciencias, Universidad de Valladolid, E-47011 Valladolid (Spain)

We consider a class of two-dimensional super-integrable systems that can be considered as the natural generalization of some well known one-dimensional factorized systems. Using standard methods to find the shape-invariant intertwining operators we find an so(6) dynamical algebra and its Hamiltonian hierarchies. In particular we consider those associated to unitary representations that can be displayed by means of three-dimensional polyhedral lattices.

OSTI ID:
20787699
Journal Information:
AIP Conference Proceedings, Vol. 809, Issue 1; Conference: EAV05: Advanced summer school in physics 2005: Frontiers in contemporary physics, Mexico City (Mexico), 11-22 Jul 2005; Other Information: DOI: 10.1063/1.2160972; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English