2003/10/03 by Simon Gravel, Gravel, Simon
Mathematics · Physics and Astronomy · #37J35 #81R12 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.DS #math.MP #msc:37J35 #msc:81R12
paper · pdf · doi:10.48550/arxiv.math-ph/0310004
4 pages
arxiv created 2003/10/03 · openalex publication_date 2003/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the properties of superintegrable Hamiltonian systems, in particular those that admit separation of variables in cartesian coordinates. We show that the superintegrability of such potentials is equivalent to the isochronicity of the separated potentials. We use this fact to get a new insight into an old question about the relation between quantum and classical harmonic behavior.