par Englefield, M.J. M.J.;Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 24, 15, page (3557-3574)
Publication Publié, 1991-08
Référence Journal of Physics A: Mathematical and General, 24, 15, page (3557-3574)
Publication Publié, 1991-08
Article révisé par les pairs
| Résumé : | A differential realization of so(2, 1) is shown to be the potential algebra for the one-dimensional systems with the Morse or Gendenshtein potentials. This shows that two classes of Gendenshtein potentials will support the same eigenvalues as the Morse potential, and that the three sets of eigenfunctions may be derived in a common formalism. The potential algebra is then extended to a dynamical potential algebra with operators connecting states both in different potentials and with different energies, giving new dynamical algebras for the Gendenshtein problem. The matrix elements of certain corresponding operators in the three types of system may then be given by a single formula involving so(2, 1) Wigner coefficients. We also give ladder operators connecting the Gendenshtein potential eigenstates. © 1991 IOP Publishing Ltd. |
