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Generalization of the Darboux transformation and generalized harmonic oscillators

✍ Scribed by Song, Dae-Yup; Klauder, John R

Book ID
120494922
Publisher
Institute of Physics
Year
2003
Tongue
English
Weight
137 KB
Volume
36
Category
Article
ISSN
0305-4470

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This paper considers Darboux transformations ofa bispectral operator which preserve its bispectrality. A sufficient condition for this to occur is given, and applied to the case of generalized Airy operators of arbitrary order r > 1. As a result, the bispectrality of a large family of algebras of ra