Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero
Abstract
We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian H = Σj,kN pj pk \λ + μ cos [ ( qj - qk)] \ is due to a simple algebraic structure . It is shown that the integrals of motion are related to the Casimiar invariants of of the su(1,1) algebra. Our method shows clearly how these types of systems can be generalized .
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