“School of Physics”
Back to Papers HomeBack to Papers of School of Physics
| Paper IPM / P / 6542 |
|
| Abstract: | |
|
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.
Download TeX format |
|
| back to top | |
