Clebsch-like integrable models

Galliano Valent (1, 2) , Hamed Ben Yahia (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies
2 LUMIMATH - Departement de Mathematiques [Marseille]

A countable class of integrable dynamical systems, with four dimensional phase space and conserved quantities in involution $(H_n,I_n)$ are exhibited. For $n=1$ we recover Clebsch sytem. All these systems are also integrable at the quantum level.

Mots clés: classical and quantum integrable systems; clebsch dynamical system; classical and quantum integrable systems.

Domaines: Physique mathématique [math-ph]; Systèmes Solubles et Intégrables [nlin.SI]

Galliano Valent, Hamed Ben Yahia. Clebsch-like integrable models. 2005. ⟨hal-00015512v1⟩