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Journal Articles Journal of Mathematical Physics Year : 2014

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.
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Dates and versions

hal-01513418 , version 1 (09-05-2017)

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