Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
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| Creator |
Grandati, Y.
Quesne, C. |
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| 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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| Date |
2019-02-13T17:17:58Z
2019-02-13T17:17:58Z 2015 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/147132 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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