2023/05/21 by A. V. Tsiganov, Tsiganov, A. V.
Chemistry · Physics and Astronomy · #Dynamical Systems (math.DS) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.2305.12370
openalex publication_date 2023/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss some families of integrable and superintegrable systems in n-dimensional Euclidean space which are invariant to m≥ n-2 rotations. The integrable invariant Hamiltonian H=∑ pi2+V(q) commutes with n-2 integrals of motion Mα and an additional integral of motion G, which are polynomials of first and fourth-order in momenta, respectively.