Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems

Details Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems Degenerate Integrability of Spin Calogero-Moser Systems and the duality with the spin Ruijsenaars systems

2002-02-23

arxiv.org/abs/math/0202245v1

Mathematics

Quantum Algebra

Scientific paper

It is shown that spin Calogero-Moser systems are completely integrable in a sense of degenerate integrability. Their Liouville tori have dimension less then half of the dimension of the phase space. It is also shown that rational spin Ruijsenaars systems are degenerately integrable and dual to spin Calogero- Moser systems in a sense that action-algle variables of one are angle-action variables of the other.

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