Intertwining algebras of quantum superintegrable systems on the hyperboloid

Calzada J. A., KURU Ş., Negro J., del Olmo M. A.

5th International Symposium on Quantum Theory and Symmetries, Valladolid, Spain, 22 - 28 July 2007, vol.128 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 128
  • Doi Number: 10.1088/1742-6596/128/1/012026
  • City: Valladolid
  • Country: Spain
  • Ankara University Affiliated: Yes

Abstract

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).