Extended Krein-Adler theorem for the translationally shape invariant potentials
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Fisica Teorica II, Universidad Complutense de Madrid, 28040 Madrid (Spain)
- LCP A2MC, Université de Lorraine, 1 Bd Arago, 57078 Metz, Cedex 3 (France)
- Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia B3H 3J5 (Canada)
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-Bäcklund transformations. It allows us to establish novel bilinear Wronskian and determinantal identities for classical orthogonal polynomials.
- OSTI ID:
- 22250693
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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