“School of Physic”
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| Paper IPM / Physic / 6541 |
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| Abstract: | |
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We show that the integrability of the dynamical system recently proposed by
Calogero and characterized by the Hamiltonian H=Σj,kN pjpk {λ+μcos[ν(qj−qk)]} is due to a simple algebraic
structure. It is shown that this system is canonically equivalent to the
classical
Heisenberg magnet with long-range interactions. Our method shows clearly
how these types of systems can be generalized and provides the mechanism
of integrability of a large class of similar systems.
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