Extended Krein-Adler theorem for the translationally shape invariant potentials
| dc.contributor.author | Gómez-Ullate Otaiza, David | |
| dc.contributor.author | Grandati, Yves | |
| dc.contributor.author | Milson, Robert | |
| dc.date.accessioned | 2023-06-19T14:54:28Z | |
| dc.date.available | 2023-06-19T14:54:28Z | |
| dc.date.issued | 2014-04 | |
| dc.description | © 2014 AIP Publishing LLC. | |
| dc.description.abstract | Considering successive extensions of primary translationally shape invariant potentials, we enlarge the Krein-Adler theorem to mixed chains of state adding and state-deleting Darboux-Backlund transformations. It allows us to establish novel bi-linear Wronskian and determinantal identities for classical orthogonal polynomials. | |
| dc.description.department | Depto. de Física Teórica | |
| dc.description.faculty | Fac. de Ciencias Físicas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30744 | |
| dc.identifier.doi | 10.1063/1.4871443 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://dx.doi.org/10.1063/1.4871443 | |
| dc.identifier.relatedurl | http://scitation.aip.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/34706 | |
| dc.issue.number | 4 | |
| dc.journal.title | Journal of mathematical physics | |
| dc.language.iso | eng | |
| dc.publisher | American Institute of Physics | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 51-73 | |
| dc.subject.keyword | Exactly solvable potentials | |
| dc.subject.keyword | Exceptional orthogonal polynomials | |
| dc.subject.keyword | X-L Laguerre | |
| dc.subject.keyword | Darboux transformations | |
| dc.subject.keyword | Quantum-mechanics | |
| dc.subject.keyword | Schrodinger-equation | |
| dc.subject.keyword | Rational extensions | |
| dc.subject.keyword | Supersymmetry | |
| dc.subject.keyword | Factorization | |
| dc.subject.keyword | Operators | |
| dc.subject.ucm | Física-Modelos matemáticos | |
| dc.subject.ucm | Física matemática | |
| dc.title | Extended Krein-Adler theorem for the translationally shape invariant potentials | |
| dc.type | journal article | |
| dc.volume.number | 55 | |
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