Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Grandati, Y., Quesne, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147132
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials / Y. Grandati, C. Quesne // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ.

We construct rational extensions of the Darboux-Pöschl-Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are only quasi-isospectral. Both are associated to new families of orthogonal polynom...