Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147132 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593786053394432 |
|---|---|
| author | Grandati, Y. Quesne, C. |
| author_facet | Grandati, Y. Quesne, C. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 polynomials, which, in the first case, depend on a continuous parameter. We also prove that these extended potentials possess an enlarged shape invariance property.
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| first_indexed | 2025-11-27T10:33:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147132 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T10:33:03Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Grandati, Y. Quesne, C. 2019-02-13T17:17:58Z 2019-02-13T17:17:58Z 2015 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. 1815-0659 2010 Mathematics Subject Classification: 81Q05; 81Q60; 42C05 DOI:10.3842/SIGMA.2015.061 https://nasplib.isofts.kiev.ua/handle/123456789/147132 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 polynomials, which, in the first case, depend on a continuous parameter. We also prove that these extended potentials possess an enlarged shape invariance property. This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of
 Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials Article published earlier |
| spellingShingle | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials Grandati, Y. Quesne, C. |
| title | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials |
| title_full | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials |
| title_fullStr | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials |
| title_full_unstemmed | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials |
| title_short | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials |
| title_sort | confluent chains of dbt: enlarged shape invariance and new orthogonal polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147132 |
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