The supersymmetric modified Poschl-Teller and delta well potentials

Citation
Ji. Diaz et al., The supersymmetric modified Poschl-Teller and delta well potentials, J PHYS A, 32(48), 1999, pp. 8447-8460
Citations number
32
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
48
Year of publication
1999
Pages
8447 - 8460
Database
ISI
SICI code
0305-4470(199912)32:48<8447:TSMPAD>2.0.ZU;2-U
Abstract
New supersymmetric (SUSY) partners of the modified Poschl-Teller and the Di rac's delta well potentials are constructed in closed form. The resulting o ne-parametric potentials are shown to be interrelated by a limiting process . The range of values of the parameters for which these potentials are free of singularities is exactly determined. The construction of higher-order S USY partner potentials is also investigated.