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Paper   IPM / Physic / 6542
School of Physics
  Title:   A Solvable Hamiltonian System Integrability and Action-Angle Variables
  Author(s):  V. Karimipour
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  38
  Year:  1997
  Pages:   1577-1582
  Supported by:  IPM
  Abstract:
We prove that the dynamical system characterized by the Hamiltonian HN ΣjN pj + μ∑j,kN (pjpk)1/2{cos[ν(qjqk)]} proposed and studied by Calogero [J. Math. Phys. 36, 9 (1994)] and Calogero and van Diejen [Phys. Lett. A 205, 143 (1995)] is equivalent to a system of noninteracting harmonic oscillators both classically and quantum mechanically. We find the explicit form of the conserved currents that are in involution. We also find the action-angle variables and solve the initial value problem in a very simple form.

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