期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Confluent Chains of DBT: Enlarged Shape Invariance and New Orthogonal Polynomials | |
article | |
Yves Grandati1  Christiane Quesne2  | |
[1] Université de Lorraine-Site de Metz;Université Libre de Bruxelles, Campus de la Plaine CP229 | |
关键词: quantum mechanics; supersymmetry; orthogonal polynomials; | |
DOI : 10.3842/SIGMA.2015.061 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202106300001221ZK.pdf | 437KB | download |