Skip to Main content Skip to Navigation
Journal articles

Extended Krein-Adler theorem for the translationally shape invariant potentials

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.
Complete list of metadata

Cited literature [65 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/hal-01513418
Contributor : Lcp-A2mc Ul Connect in order to contact the contributor
Submitted on : Tuesday, May 9, 2017 - 2:02:10 PM
Last modification on : Tuesday, October 19, 2021 - 3:44:50 PM
Long-term archiving on: : Thursday, August 10, 2017 - 12:19:13 PM

File

12E4871443.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

David Gomez-Ullate, Yves Grandati, Robert Milson. Extended Krein-Adler theorem for the translationally shape invariant potentials. Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (4), ⟨10.1063/1.4871443⟩. ⟨hal-01513418⟩

Share

Metrics

Record views

110

Files downloads

310