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періодичних видань НАН України
періодичних видань НАН України
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Grandati, Y. | |
| dc.contributor.author | Quesne, C. | |
| dc.date.accessioned | 2019-02-13T17:17:58Z | |
| dc.date.available | 2019-02-13T17:17:58Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 81Q05; 81Q60; 42C05 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.061 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147132 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
