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Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics (2010.03638v3)
Published 7 Oct 2020 in nlin.SI and math.DG
Abstract: A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position dependent coefficients. It is shown how the system's St\"ackel class can be obtained from this associated quadric.The St\"ackel class of a second-order maximally conformally superintegrable system is its equivalence class under St\"ackel transformations, i.e., under coupling-constant metamorphosis.
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