par Quesne, Christiane
Référence Journal of mathematical physics, 49, 2, 022106
Publication Publié, 2008
Référence Journal of mathematical physics, 49, 2, 022106
Publication Publié, 2008
Article révisé par les pairs
Résumé : | The bound-state solutions and the su(1,1) description of the d -dimensional radial harmonic oscillator, the Morse, and the D -dimensional radial Coulomb Schrödinger equations are reviewed in a unified way using the point canonical transformation method. It is established that the spectrum generating su(1,1) algebra for the first problem is converted into a potential algebra for the remaining two. This analysis is then extended to Schrödinger equations containing some position-dependent mass. The deformed su(1,1) construction recently achieved for a d -dimensional radial harmonic oscillator is easily extended to the Morse and Coulomb potentials. In the last two cases, the equivalence between the resulting deformed su(1,1) potential algebra approach and a previous deformed shape invariance one generalizes to a position-dependent mass background a well-known relationship in the context of constant mass. © 2008 American Institute of Physics. |