\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
We prove that the dynamical system characterized by the Hamiltonian $H=\lambda
N \Sigma_j^N p_j + \mu \sum_{j,k}^N (p_jp_k)^{1/2}\{\cos
[\nu (q_j-q_k)]\}$ proposed and studied
by Calogero [J. Math. Phys. {\bf 36},
9 (1994)] and Calogero and van Diejen [Phys.
Lett. A {\bf 205}, 143 (1995)]
is equivalent to a system of {\it 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.
\end{document}