“School of Physic”
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| Paper IPM / Physic / 6542 |
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| Abstract: | |
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We prove that the dynamical system characterized by the Hamiltonian H=λN ΣjN pj + μ∑j,kN (pjpk)1/2{cos[ν(qj−qk)]} 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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