Extended Krein-Adler theorem for the translationally shape invariant potentials
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 classi...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/34706 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/34706 |
| Access Level: | acceso abierto |
| Palavra-chave: | 51-73 Exactly solvable potentials Exceptional orthogonal polynomials X-L Laguerre Darboux transformations Quantum-mechanics Schrodinger-equation Rational extensions Supersymmetry Factorization Operators Física-Modelos matemáticos Física matemática |
| Resumo: | 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. |
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