Dynamical algebras of general Poschl-Teller hierarchies

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

7th International Conference on Quantum Theory and Symmetries (QTS), Prague, Czech Republic, 7 - 13 August 2011, vol.343 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 343
  • Doi Number: 10.1088/1742-6596/343/1/012086
  • City: Prague
  • Country: Czech Republic
  • Ankara University Affiliated: Yes

Abstract

We investigate a class of operators connecting general Hamiltonians of the Poschl-Teller type. The operators involved depend on three parameters and their explicit action on eigenfunctions is found. The whole set of intertwining operators close a su(2, 2) approximate to so(4, 2) Lie algebra. The space of eigenfunctions supports a differential-difference realization of an irreducible representation of the su(2, 2) algebra.