5th International Symposium on Quantum Theory and Symmetries, Valladolid, Spain, 22 - 28 July 2007, vol.128
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting all of them. It is shown that such intertwining operators close a su(2,1) Lie algebra and determine the Hamiltonians through the Casimir operators. The physical states are characterized as unitary representations of su(2, 1).