Superintegrable quantum u(3) systems and higher rank factorizations

Journal Article · Sat Apr 15 04:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2191360· OSTI ID:20768767

Calzada, J A; Negro, J; Olmo, M.A. del ^[1]

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1. 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, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
FACTORIZATION
HAMILTONIANS
IRREDUCIBLE REPRESENTATIONS
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS
SO-6 GROUPS
SURFACES
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
U-3 GROUPS