par Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 32, 38, page (6705-6710)
Publication Publié, 1999-09
Référence Journal of Physics A: Mathematical and General, 32, 38, page (6705-6710)
Publication Publié, 1999-09
Article révisé par les pairs
| Résumé : | We comment on a recent paper by Chen et al (1998 J. Phys. A: Math. Gen. 31 6473), wherein a nonlinear deformation of su(1, 1) involving two deforming functions is realized in the exactly solvable quantum-mechanical problem with Pöschl-Teller potential, and is used to derive the well known su(1, 1) spectrum-generating algebra of this problem. We show that one of the defining relations of the nonlinear algebra, presented by the authors, is only valid in the limiting case of an infinite square well, and we determine the correct relation in the general case. We also use it to establish the correct link with su(1, 1), as well as to provide an algebraic derivation of the eigenfunction normalization constant. |
