All maximally superintegrable Hamiltonian systems in three-dimensional flat space derived in the work of Evans [Phys. Rev. A 41, 5666–5676 (1990)] are shown to possess hidden symmetries leading to their linearization, likewise the maximally superintegrable Hamiltonian systems in two-dimensional flat space as shown in the work of Gubbiotti and Nucci [J. Math. Phys. 58, 012902 (2017)]. We conjecture that even minimally superintegrable systems in three-dimensional flat space have hidden symmetries that make them linearizable.

中文翻译：

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平面三维空间中的最大超可积系统是可线性化的

在Evans的工作中得出的，在三维平面空间中的所有最大超可积Hamilton系统。修订版A 41，5666-5676（1990）]被显示出具有在二维平面空间隐藏对称性导致其线性化，同样地最大限度superintegrable Hamilton系统如图Gubbiotti和努奇[J.工作 数学。物理 58，012902（2017）]。我们推测，即使在三维平面空间中的最小超可积系统也具有使它们线性化的隐藏对称性。