Superintegrable quantum u(3)--systems and higher rank factorizations
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
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 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.
Cite
@article{arxiv.math-ph/0601067,
title = {Superintegrable quantum u(3)--systems and higher rank factorizations},
author = {J. A. Calzada and J. Negro and M. A. del Olmo},
journal= {arXiv preprint arXiv:math-ph/0601067},
year = {2009}
}
Comments
20 pages, 4 figures