On the maximal superintegrability of strongly isochronous Hamiltonians

Autor:	Feher, L.
Rok vydání:	2024
Předmět:	Mathematical Physics High Energy Physics - Theory Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
Popis:	We study strongly isochronous Hamiltonians that generate periodic time evolution with the same basic period for a dense set of initial values. We explain that all such Hamiltonians are maximally superintegrable, and show that if the system is subjected to Hamiltonian reduction based on a compact symmetry group and certain conditions are met, then the reduced Hamiltonian is strongly isochronous with the original basic period. We utilize these simple observations for demonstrating the maximal superintegrability of rational spin Calogero--Moser type models in confining harmonic potential. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.19349 Zobrazit plný text záznamu View this record from Arxiv