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- W2809825215 abstract "We study deformations of the quantum conformal mechanics of de Alfaro-Fubini-Furlan with a 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 nonisospectral deformations of the conformal mechanics model with special values of the coupling constant $g=m(m+1)$, $mensuremath{in}mathbb{N}$, 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 that 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.
- W2809825215 created "2018-07-10" @default.
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- W2809825215 date "2018-07-12" @default.
- W2809825215 modified "2023-10-17" @default.
- W2809825215 title "Rational deformations of conformal mechanics" @default.
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- W2809825215 doi "https://doi.org/10.1103/physrevd.98.026017" @default.
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