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

被引：26

作者：

Grandati, Yves ^{[1
]}

Quesne, Christiane ^{[2
]}

机构：

[1] Univ Lorraine, Equipe BioPhysStat, LCP A2MC, F-57070 Metz, France

[2] Univ Libre Bruxelles, Phys Nucl Theor & Phys Math, B-1050 Brussels, Belgium

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2015年 / 11卷

关键词：

quantum mechanics; supersymmetry; orthogonal polynomials; SOLVABLE POTENTIALS; RATIONAL EXTENSIONS; EQUATIONS; FORMULA; SUPERSYMMETRY; FAMILIES; DARBOUX;

D O I：

10.3842/SIGMA.2015.061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct rational extensions of the Darboux-Poschl-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.

引用

页数：26

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