Necessary conditions for partial and super-integrability of Hamiltonian systems with homogeneous potentia

2007/01/29 by Andrzej J. Maciejewski, Maciejewski, Andrzej J., Maria Przybylska +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.nlin/0701057

openalex publication_date 2007/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a natural Hamiltonian system of n degrees of freedom with a homogeneous potential. Such system is called partially integrable if it admits 1

Citations

• Completeness of superintegrability in two-dimensional constant-curvature spaces

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