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- W2737997023 abstract "We study deformations of the quantum conformal mechanics of De Alfaro-Fubini-Furlan with rational additional potential term generated by applying the generalized Darboux-Crum-Krein-Adler transformations to the quantum harmonic oscillator and by using the method of dual schemes and mirror diagrams. In this way we obtain infinite families of isospectral and non-isospectral deformations of the conformal mechanics model with special values of the coupling constant $g=m(m+1)$, $min {mathbb N}$, in the inverse square potential term, and for each completely isospectral or gapped deformation given by a mirror diagram, we identify the sets of the spectrum-generating ladder operators which encode and coherently reflect its fine spectral structure. Each pair of these operators generates a nonlinear deformation of the conformal symmetry, and their complete sets pave the way for investigation of the associated superconformal symmetry deformations." @default.
- W2737997023 created "2017-07-31" @default.
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- W2737997023 date "2017-07-23" @default.
- W2737997023 modified "2023-09-27" @default.
- W2737997023 title "arXiv : Duality-induced rational extensions of the isotonic oscillator" @default.
- W2737997023 hasPublicationYear "2017" @default.
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