Neumann-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 Neumann sytem on T*S^2. All these systems are also integrable at the quantum level.

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

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

Galliano Valent, Hamed Ben Yahia. Neumann-like integrable models. Physics Letters A, 2007, 360, pp.435-438. ⟨hal-00015512v2⟩