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Paper   IPM / Physic / 6541
School of Physics
  Title:   Integrable Structure of the New Calogero Models
  Author(s):  V. Karimipour
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  39
  Year:  1998
  Pages:   913-920
  Supported by:  IPM
  Abstract:
We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian Hj,kN pjpk {λ+μcos[ν(qjqk)]} 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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