Abstract
Peculiar properties of many classical and quantum systems can be related to, or derived from those of a free particle. In this way we explain the appearance and peculiarities of the exotic nonlinear Poincaré supersymmetry in reflectionless and finite-gap quantum systems related to the Korteweg–de Vries equation. The same approach is used to explain the origin and the nature of nonlinear symmetries in the perfectly invisible \(PT\)-regularized conformal and superconformal mechanics systems.
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Funding
The work was partially supported by the FONDECYT Project 1190842, the Project USA 1899, and by DICYT, USACH.
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Plyushchay, M.S. Exotic Nonlinear Supersymmetry and Integrable Systems. Phys. Part. Nuclei 51, 583–588 (2020). https://doi.org/10.1134/S1063779620040589
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DOI: https://doi.org/10.1134/S1063779620040589