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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 061, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.061 (Mi sigma1042) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials

Yves Grandatia, Christiane Quesneb

a Equipe BioPhysStat, LCP A2MC, Université de Lorraine-Site de Metz, 1 bvd D.F. Arago, F-57070, Metz, France
b Physique Nucléaire Théorique et Physique Mathématique, Université Libre de Bruxelles, Campus de la Plaine CP229, Boulevard du Triomphe, B-1050 Brussels, Belgium
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DOI: https://doi.org/10.3842/SIGMA.2015.061
Abstract: We construct rational extensions of the Darboux–Pöschl–Teller and isotonic potentials via two-step confluent Darboux transformations. The former are strictly isospectral to the initial potential, whereas the latter are only quasi-isospectral. Both are associated to new families of orthogonal polynomials, which, in the first case, depend on a continuous parameter. We also prove that these extended potentials possess an enlarged shape invariance property.
Keywords: quantum mechanics; supersymmetry; orthogonal polynomials.
Received: March 26, 2015; in final form July 15, 2015; Published online July 28, 2015
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 81Q60; 42C05
Language: English
Citation: Yves Grandati, Christiane Quesne, “Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials”, SIGMA, 11 (2015), 061, 26 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
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