Extended Krein-Adler theorem for the translationally shape invariant potentials



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Gómez-Ullate Otaiza, David and Grandati, Yves and Milson, Robert (2014) Extended Krein-Adler theorem for the translationally shape invariant potentials. Journal of mathematical physics, 55 (4). ISSN 0022-2488

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Official URL: http://dx.doi.org/10.1063/1.4871443


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.

Item Type:Article
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© 2014 AIP Publishing LLC.

Uncontrolled Keywords:Exactly solvable potentials; Exceptional orthogonal polynomials; X-L Laguerre; Darboux transformations; Quantum-mechanics; Schrodinger-equation; Rational extensions; Supersymmetry; Factorization; Operators
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:30744
Deposited On:10 Jun 2015 09:23
Last Modified:10 Dec 2018 15:09

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