Open AccessRotations and integrabilityOpen Access
Author(s)
A. V. Tsiganov
Publication year2024
We discuss some families of integrable and superintegrable systems in$n$-dimensional Euclidean space which are invariant to $m\geq n-2$ rotations.The integrable invariant Hamiltonian $H=\sum p_i^2+V(q)$ commutes with $n-2$integrals of motion $M_\alpha $ and an additional integral of motion $G$, whichare polynomials of first and fourth-order in momenta, respectively.
Language(s)English
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