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Title: 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-Bäcklund transformations. It allows us to establish novel bilinear Wronskian and determinantal identities for classical orthogonal polynomials.
Authors:
 [1] ;  [2] ;  [3]
  1. Departamento de Fisica Teorica II, Universidad Complutense de Madrid, 28040 Madrid (Spain)
  2. LCP A2MC, Université de Lorraine, 1 Bd Arago, 57078 Metz, Cedex 3 (France)
  3. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia B3H 3J5 (Canada)
Publication Date:
OSTI Identifier:
22250693
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; POLYNOMIALS; POTENTIALS; SHAPE; TRANSFORMATIONS